Turito Academy

Test Prep

Global form fields

When CO2 dissolves in water the following equilibrium is established, CO2 + 2H2O<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAANCAYAAACpUE5eAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAE1JREFUeNpjYCANeAAxBwMVwXIgvg/EbtQyUA2ILwHxf6jhksRo+k8C/sQwCugCPpEYMQQBKCmsgiq+Ak0qVAE+0ES8nJre54IaPHAAAPv0IYahFBH5AAAAUHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMUNDOzwvbW8+PC9tYXRoPrpZSUEAAAAASUVORK5CYII=" class="Wirisformula" alt="rightwards harpoon over leftwards harpoon" width="20" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»⇌«/mo»«/math»'/> H3O+ + HCO3– for which the equilibrium constant 3.8 <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAANCAYAAACpUE5eAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAE1JREFUeNpjYCANeAAxBwMVwXIgvg/EbtQyUA2ILwHxf6jhksRo+k8C/sQwCugCPpEYMQQBKCmsgiq+Ak0qVAE+0ES8nJre54IaPHAAAPv0IYahFBH5AAAAUHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMUNDOzwvbW8+PC9tYXRoPrpZSUEAAAAASUVORK5CYII=" class="Wirisformula" alt="rightwards harpoon over leftwards harpoon" width="20" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»⇌«/mo»«/math»'/> 10–7 and pH = 6.0. The ratio of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHMAAAAZCAYAAAACLBHaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAARqpSybAAAAlhJREFUeNrtWjtIA0EQPUIQsRCCpQRBgoiF2IhYWAhiIRY2FhYiIlhZWAgiIhZiI1ZiEySIiAgiksJCELGysxAREcFCrEQIEkRCmjgDc3Act3tzm6zcbm7gFclMLvv27c3nEsdpDqv5kHAynHjCLyFrHj9bblkRj6YT02aCiZg++wWkIvq6ATuAB4p5B2wBMgGx/YAC4BNQBhwB+v5RzLjwq0nQEDFzgMeIvhXAJWDEsxFZwDLg0Be7ASgCBikWMUWbM/QPYprIT1lM/OLTCL5VwAFzIeuAvMA3Sqdet5gm8lMWc5MIcHw9gDdAmrEIjH2RpDeHUlJGs5gm8lMW84xOKMe3S6mGYxi7FBJzTalMp5gm8lMW8zWkMHd6Yp+pznDsCdAVEvMBaNcspon8lMTEFPEj8KWpi/PGVpgLSPk+K7r+t+aaaSo/JTGx27oR+IYBt57XLVQDOMaJnQYcaxbTVH5KYs4EtNoyH57yNubJrYY0B3e+1t1Ne1XqAscbIGac+GkXcw+wIPEt+t4r0AzGMZzT5gW+NUlLj9ZLc1q9YsaVnxYxLwATAl8xwIcFv0SLdVvuVsAkbcSYbyDH1n3O0+oPUOrJM05+qQFixolflMyjJGaJFhvFl6PHVWW6Nhb5c8GmZWkT8FpfgBOqVTLrAOxLTn0UMePIj5N5lEeTOJl7emcbOJrE0cIyjxViOjSXbQfUM1vE5GQea8R0rWKhmNzMY5WY+Ajs3tI7k5N5jBfTPbV4R1458kdlNvw4XVEVM/nbiFmZx4YyWf9QbUnmaWoxrf/f7B9UWzgjRLCQ3QAAAT10RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZlbmNlZCBjbG9zZT0iXSIgb3Blbj0iWyIgc2VwYXJhdG9ycz0ifCI+PG1zdWI+PG1yb3c+PG1pPkg8L21pPjxtaT5DPC9taT48bWk+TzwvbWk+PC9tcm93Pjxtbj4zPC9tbj48L21zdWI+PC9tZmVuY2VkPjxtZmVuY2VkIGNsb3NlPSJdIiBvcGVuPSJbIiBzZXBhcmF0b3JzPSJ8Ij48bXN1YnN1cD48bXJvdz48bWk+SDwvbWk+PG1pPkM8L21pPjxtaT5PPC9taT48L21yb3c+PG1uPjM8L21uPjxtbz4tPC9tbz48L21zdWJzdXA+PC9tZmVuY2VkPjwvbWF0aD4Ls92aAAAAAElFTkSuQmCC" class="Wirisformula" alt="open square brackets H C O subscript 3 close square brackets open square brackets H C O subscript 3 superscript minus close square brackets" width="115" height="25" style="vertical-align:-8px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨[¨ close=¨]¨ separators=¨|¨»«msub»«mrow»«mi»H«/mi»«mi»C«/mi»«mi»O«/mi»«/mrow»«mn»3«/mn»«/msub»«/mfenced»«mfenced open=¨[¨ close=¨]¨ separators=¨|¨»«msubsup»«mrow»«mi»H«/mi»«mi»C«/mi»«mi»O«/mi»«/mrow»«mn»3«/mn»«mo»-«/mo»«/msubsup»«/mfenced»«/math»'/> to <img src="data:image/png;base64,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" class="Wirisformula" alt="open square brackets C O subscript 2 close square brackets" width="44" height="20" style="vertical-align:-6px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨[¨ close=¨]¨ separators=¨|¨»«msub»«mrow»«mi»C«/mi»«mi»O«/mi»«/mrow»«mn»2«/mn»«/msub»«/mfenced»«/math»'/> would be

Solution for the question - when co2 dissolves in water the following equilibrium is established,co2+2h2o tau h3o++hco3 for which the equilibrium constant 3.8 t

When co2 dissolves in water the following equilibrium is establ-Turito

PSAT

One-On-One Tutoring

Your gateway to the top global universities

Coding

Discover traits & skills, get a clear pathway to academic success.

Discovery Program

In <img src="data:image/png;base64,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" class="Wirisformula" alt="triangle A B C comma a b c sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals" width="277" height="17" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#9651;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mi»a«/mi»«mi»b«/mi»«mi»c«/mi»«mi»sin«/mi»«mo»§#8289;«/mo»«mi»A«/mi»«mo»/«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#8289;«/mo»«mi»B«/mi»«mo»/«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#8289;«/mo»«mi»C«/mi»«mo»/«/mo»«mn»2«/mn»«mo»=«/mo»«/math»'/>

Solution for the question - in /_\abc,abc sin a//2sin b//2sin c//2= s//delta^(2) '/> delta^(25) '/> delta^(2)//5 '/> delta^(2) '/>

In /_\abc,abc sin a//2sin b//2sin c//2= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="capital delta A B C comma a squared c o t invisible function application A plus b squared c o t invisible function application B plus C squared c o t invisible function application C equals" width="265" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#916;«/mi»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«mi»c«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#8289;«/mo»«mi»A«/mi»«mo»+«/mo»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mi»c«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#8289;«/mo»«mi»B«/mi»«mo»+«/mo»«msup»«mi»C«/mi»«mn»2«/mn»«/msup»«mi»c«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#8289;«/mo»«mi»C«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - in /_\abc,a^(2)cot a+b^(2)cot b+c^(-2)cot c= 4 a '/> 3 a '/> 2 a '/> a '/>

In /_\abc,a^(2)cot a+b^(2)cot b+c^(-2)cot c= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="triangle A B C comma c o t invisible function application A divided by 2 plus c o t invisible function application B divided by 2 plus c o t invisible function application C divided by 2 equals" width="281" height="17" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#9651;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mi»c«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#8289;«/mo»«mi»A«/mi»«mo»/«/mo»«mn»2«/mn»«mo»+«/mo»«mi»c«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#8289;«/mo»«mi»B«/mi»«mo»/«/mo»«mn»2«/mn»«mo»+«/mo»«mi»c«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#8289;«/mo»«mi»C«/mi»«mo»/«/mo»«mn»2«/mn»«mo»=«/mo»«/math»'/>

Solution for the question - in /_\abc,cot a//2+cot b//2+cot c//2= ((a+b+c)^(2))//2delta '/> ((a+b+c)^(2))//4delta '/>(a^(2)+b^(2)+c^(2))//4delta '/> (a+b+c)//4delta '/>

In /_\abc,cot a//2+cot b//2+cot c//2= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="capital delta A B C comma c o t invisible function application A plus c o t invisible function application B plus c o t invisible function application C equals" width="208" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#916;«/mi»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mi»c«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#8289;«/mo»«mi»A«/mi»«mo»+«/mo»«mi»c«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#8289;«/mo»«mi»B«/mi»«mo»+«/mo»«mi»c«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#8289;«/mo»«mi»C«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - in aabc,cot a+cot b+cot c= ((a+b+c)^(2))//2delta '/> ((a+b+c)^(2))//4delta '/>(a^(2)+b^(2)+c^(2))//4delta '/> (a+b+c)//4delta '/>

In aabc,cot a+cot b+cot c= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="triangle A B C comma 4 R capital delta sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals" width="281" height="17" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#9651;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mn»4«/mn»«mi»R«/mi»«mi»§#916;«/mi»«mi»sin«/mi»«mo»§#8289;«/mo»«mi»A«/mi»«mo»/«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#8289;«/mo»«mi»B«/mi»«mo»/«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#8289;«/mo»«mi»C«/mi»«mo»/«/mo»«mn»2«/mn»«mo»=«/mo»«/math»'/>

Solution for the question - in /_\abc,4ra sin a//2sin b//2sin c//2= s//delta^(2) '/> delta^(2)5 '/> delta^(2)//5 '/> delta^(2) '/>

In /_\abc,4ra sin a//2sin b//2sin c//2= -Turito

If 'O'  is the Orthocentre of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADUAAAANCAYAAAAJzyawAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAd9JREFUeNrdlsFHREEcx9daK6vLWslKYiV7Srd0SGIPyR4SyVpJokOnZEmnrNUlHZIuyVp7SCQr6ZZOSZckK3uIDv0DK1lZifoO38f4eW929r1bXz68+c3vzfvNzG9+80IhO2VAG0yHgmujQ7/6zg94B2/gCiRd/FJgDzyDL/qXQNwmiDCoc2J1tv1qEXyDiEf/MIPUpQKtCFsBXINJLZ5BLljFJpBNUORzkQP6UZyLcgPmPHyU/VTY5oVtC5wESZUEaIAY2zG2Ez7GOgY5sAyOPHx2GLSuKpjh8whTMhJkUiqQvLDlaO9GE0wXpX4G5qZz7pZKqTFQFmdw3+JMGqUGvffoU/ZRy3HUqj4y5x09gbSL7yv4JS1thxw1eO58yxS4acJuKSXP4S5YdylILT5HWZgemHJOfzvIhGxSzDkjJqW5K1JTLNW6xsGtsOVZtp2JfvqdkG0xUP0voMfgc6elk0SW9hzPkK4lUelaWtHqSiWWcRsVtHIvtQYODO+egVmtfQhWhE9ZZEPZz5WS4uVne8GG6Z8S9iTvpF7Du6ti0jWtMPSBBY4d1XyGQBNsa38OKlOynHDG7UOXhnQxUXMpzdkOCzLAaueoqY3X5k4OePx1VHm+lO8HuBC7/v/0B0mUcsm1m25EAAAAbnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyNUIzOzwvbW8+PG1pPkE8L21pPjxtaT5CPC9taT48bWk+QzwvbWk+PC9tYXRoPpcgrm8AAAAASUVORK5CYII=" class="Wirisformula" alt="triangle A B C" width="53" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#9651;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«/math»'/> then <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACkAAAANCAYAAAA0XUfWAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAASdJREFUeNpjYMAO9IB4LhC/BOJPQLwQiLUYCIMCBjqBWiDeAMSmQMwExQFA/BCIzfHoCwfiX0DMQmsHVgPxTBxyjkB8AYecIBBfAuLdUA/RDKgB8Q1oyOECn6AOQgcgj0UCcTwQT6GlI3uAOIeAGlBI2aKJWQLxFihbHIjvEjDjPxEYJ7gCxPIELHgMxHxIfFD6OwPEskhi54BYgxahCIribwTUgBz0AU2sHohL0MRagTiLFo5kg6Y3fCAUiBcj8TWgoYYO7IF4Ey2imwlafODLNEfRiqDDeCyhWVEESvyJOOQq0YqmNCCegMes5UDsRQtHqkCLoHikUDCARjGyAyWhZSIPHrOSCXiCIiALrQ7fAfFrIF4KLWKQwSog9iFgjjQQ32IYSQAAQslI/+VHfGsAAABddEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPk88L21pPjxtaT5BPC9taT48bW8+PTwvbW8+PC9tYXRoPhaVZ0QAAAAASUVORK5CYII=" class="Wirisformula" alt="O A equals" width="41" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»O«/mi»«mi»A«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - if 'o' is the orthocentre of /_\abc thenoa = r cot a '/> 2reot a '/> 2r cos a '/> reos '/>

If 'o' is the orthocentre of /_\abc thenoa = -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="I n triangle A B C comma sum a cubed c o s invisible function application left parenthesis B minus C right parenthesis equals" width="207" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»I«/mi»«mi»n«/mi»«mo»§#9651;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mo»§#8721;«/mo»«msup»«mi»a«/mi»«mn»3«/mn»«/msup»«mi»c«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§#8289;«/mo»«mo»(«/mo»«mi»B«/mi»«mo»-«/mo»«mi»C«/mi»«mo»)«/mo»«mo»=«/mo»«/math»'/>

Solution for the question - inin /_\abc_(1)suma^(3)cos(b-c)= 0300 c '/> 20 bc '/> co '/>

Inin /_\abc_(1)suma^(3)cos(b-c)= -Turito

In this question we have to fins the value of <img src="data:image/png;base64,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" class="Wirisformula" alt="left parenthesis b plus c right parenthesis cos open parentheses A close parentheses plus left parenthesis c plus a right parenthesis cos open parentheses B close parentheses plus left parenthesis a plus b right parenthesis cos open parentheses C close parentheses" width="317" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»b«/mi»«mo»+«/mo»«mi»c«/mi»«mo»)«/mo»«mi»cos«/mi»«mfenced»«mi»A«/mi»«/mfenced»«mo»+«/mo»«mo»(«/mo»«mi»c«/mi»«mo»+«/mo»«mi»a«/mi»«mo»)«/mo»«mi»cos«/mi»«mfenced»«mi»B«/mi»«/mfenced»«mo»+«/mo»«mo»(«/mo»«mi»a«/mi»«mo»+«/mo»«mi»b«/mi»«mo»)«/mo»«mi»cos«/mi»«mfenced»«mi»C«/mi»«/mfenced»«/math»'/> =&gt;<img src="data:image/png;base64,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" class="Wirisformula" alt="b cos open parentheses A close parentheses plus c cos open parentheses A close parentheses plus c cos open parentheses B close parentheses plus a cos open parentheses B close parentheses plus a cos open parentheses C close parentheses plus b cos open parentheses C close parentheses" width="429" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»b«/mi»«mi»cos«/mi»«mfenced»«mi»A«/mi»«/mfenced»«mo»+«/mo»«mi»c«/mi»«mi»cos«/mi»«mfenced»«mi»A«/mi»«/mfenced»«mo»+«/mo»«mi»c«/mi»«mi»cos«/mi»«mfenced»«mi»B«/mi»«/mfenced»«mo»+«/mo»«mi»a«/mi»«mi»cos«/mi»«mfenced»«mi»B«/mi»«/mfenced»«mo»+«/mo»«mi»a«/mi»«mi»cos«/mi»«mfenced»«mi»C«/mi»«/mfenced»«mo»+«/mo»«mi»b«/mi»«mi»cos«/mi»«mfenced»«mi»C«/mi»«/mfenced»«/math»'/> =&gt;<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcsAAAAQCAYAAAB5jFQfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAABfVJREFUeNrtXV+EHVcYP661qiLkYVWsKLVWVESIiljVl32oWBEhKioqSlRERS2rYlVFWFUV1ZeIFXmIsCKqokrFWiuiVFVUVelDH6LWEhURsS7b77O/o5Mz35m5954/M2dmPj7ZOXfmzDe/8/ud850z594o9bKdJ19S9bdR41zCtW2xYXGS8ImBWd151/GtGqw67vnTccc9j9w7SP4wAUBc43yAOppuo+Ik4RMSs7rzruNbtVi1mXu+ddxxzxP3+INDQvlz8l6NQLHFqe0N8i/If0Xsf5NfJt+Dzw+Tr7eAPEU4vSDvA5u/yL8j31uAT0jMytqz7nzTdtFS3ha+hdJmm7nnW8c+LbVxYRSdihgews1MmyJ/VCNAbHFqmye/R/52piH3AaAbmfPWAURTrQinKXRWWbs8AD4hMCtrz7rzTdt75FvkY5bPm8630NpsI/dC6diHpTYuuOg0V8bZ3gXh4hPkt2sEii1OtgXy6wPW87EafG17O8GOqwgnbtNbRtlJo0zCJwRmRXHWHUdte9Bx/Ahs28i30NpsI/dC6dgH71IaF1x1miv7ARmfaZ+RXyL/nPwfTPtXM1P9rM2Qr+EcXhY4Y3w+R/47Rnb+97hlmWYVU/xtoQFtcU5jGWJsQHCPkt8P1HntQuM9xrPeVf8vM1WNk27TBaPsJvm7JfiEwKwozrrjqO0a+WnyD8i/icy3HrS5gefkmcbrDdRmTO6lgKmLjn3wLpVxwYdOc2VPyceFi1dA9AV0VEykr4SsgqfBmxixexBINsM5gnoO4PgAjo8a9fxsAasszi+VfS1asnHU5ZtE3MH/Qn6FfDfuMw9C1AEn3ab6/hzPsoCdhE8IzGxxpoCjFtI9/P0a7hGTb3zvrzPaXBGy5iZoMyb3UsDURcc+eJfKuOBDp7myvuXiP8nfNMp2CxXewXTVZncyHV02o/jWKHtuzB5Ms8XJGcnUkDPArQAkWoLQinCoEifdpjo7e2ZkomX4+MasnzCOYxDxvkwZD/D7I/HtNDotc2ZxrKHajMG9VDB11bFrP5fKuOBLp1tlN+shSNNeEUB5CrCGGfmlUZwzkAcg7aCg9DDFVx4EqTIELHLbkthmSaNWiZOO8Vmm3lm1s9162rHDGhWzfqI46qWoeaOMZ8LnI/FtVcjA14Qlw6ZoMwb3UsDUh45d+7kUxgWfOt0qC/oIyCNNae8PmZVsDxEYL8FdR0Y6PSK4oyz1uGZcb6nyrdpV4qTb1Gy799XOu8G6LIWlgON+ZKemvaN2tu/H4Ju5dT/bgTZNm7G4lwKmrjp2xS2VccGXTnNlvENoRliSuCFU+An5olG26SmDyNqnwoNKcSoQ+tUhBBnixTcv1dwtOadqnLhNl42yMyq/UzHWJgspzhRwXC/IxqWt6SGw2zSOZywdQxO0GYt7qWDqomNX3FIaF3zoNFcmbb3ld0ZnhQfh7bfmridupLK16ePC1LqoU+wJGYZti/CyMNUusgtCFuZKIv4uzh8l51SNk9Smy8LyhoRPCMykOOuO4znyqwX13Fb5d1whsHuMpS9ti3hu1UBtxuJeKpi66NgVt1TGBV86zZVJX+rkgPlF7iyOJ1F2Vrgxb+3lbcEn8TCTRubDS2u8A0m/FD6I45mCh/lQmO7bvnzK7xSeIOvQ77qY9HOIY1bIOA57JhEbbzO/goyFM6qLxjNWjRO3n94IMEF+CjGPD4BPCMxscdYVx73oFHaV1HM1Anb8BfRreH7mP+8y/L6h2ozFvVQwddGxK24pjAs+dSpi+FC9/Dt4Gxj1GZg+GuNECfl+ypxrZgxzmDFwVvCbpS49Re6DpNL3dsw4tfGOu5uYwnMd/yJzOSbMXEL9DBTvuFpD/I/QIHXC6Unm2hfIriYHwCckZlKcdcVxReV375k2Cc3EwO4SYlrEALRhec6UtRmbeylgOqqOfVgK44IvnVox7H5IvVnW/ZB6+/g20UCsqubeRIN03PV3Hrn3kUrjv+gaNU5eez7XIgINi5OETwzM6s67jm/VYNVxz5+OO+45cu8/Yn3HtvofQOQAAAHfdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPig8L21vPjxtaT5iPC9taT48bWk+Y29zPC9taT48bWZlbmNlZD48bWk+QzwvbWk+PC9tZmVuY2VkPjxtbz4rPC9tbz48bWk+YzwvbWk+PG1pPmNvczwvbWk+PG1mZW5jZWQ+PG1pPkI8L21pPjwvbWZlbmNlZD48bW8+KTwvbW8+PG1vPis8L21vPjxtbz4oPC9tbz48bWk+YzwvbWk+PG1pPmNvczwvbWk+PG1mZW5jZWQ+PG1pPkE8L21pPjwvbWZlbmNlZD48bW8+KzwvbW8+PG1pPmE8L21pPjxtaT5jb3M8L21pPjxtZmVuY2VkPjxtaT5DPC9taT48L21mZW5jZWQ+PG1vPik8L21vPjxtbz4rPC9tbz48bW8+KDwvbW8+PG1pPmE8L21pPjxtaT5jb3M8L21pPjxtZmVuY2VkPjxtaT5CPC9taT48L21mZW5jZWQ+PG1vPis8L21vPjxtaT5iPC9taT48bWk+Y29zPC9taT48bWZlbmNlZD48bWk+QTwvbWk+PC9tZmVuY2VkPjxtbz4pPC9tbz48L21hdGg+hzwWRgAAAABJRU5ErkJggg==" class="Wirisformula" alt="left parenthesis b cos open parentheses C close parentheses plus c cos open parentheses B close parentheses right parenthesis plus left parenthesis c cos open parentheses A close parentheses plus a cos open parentheses C close parentheses right parenthesis plus left parenthesis a cos open parentheses B close parentheses plus b cos open parentheses A close parentheses right parenthesis" width="459" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»b«/mi»«mi»cos«/mi»«mfenced»«mi»C«/mi»«/mfenced»«mo»+«/mo»«mi»c«/mi»«mi»cos«/mi»«mfenced»«mi»B«/mi»«/mfenced»«mo»)«/mo»«mo»+«/mo»«mo»(«/mo»«mi»c«/mi»«mi»cos«/mi»«mfenced»«mi»A«/mi»«/mfenced»«mo»+«/mo»«mi»a«/mi»«mi»cos«/mi»«mfenced»«mi»C«/mi»«/mfenced»«mo»)«/mo»«mo»+«/mo»«mo»(«/mo»«mi»a«/mi»«mi»cos«/mi»«mfenced»«mi»B«/mi»«/mfenced»«mo»+«/mo»«mi»b«/mi»«mi»cos«/mi»«mfenced»«mi»A«/mi»«/mfenced»«mo»)«/mo»«/math»'/> By using projection formula <img src="data:image/png;base64,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" class="Wirisformula" alt="a equals space left parenthesis b cos open parentheses C close parentheses plus c cos open parentheses B close parentheses right parenthesis
b equals left parenthesis c cos open parentheses A close parentheses plus a cos open parentheses C close parentheses right parenthesis
c equals left parenthesis a cos open parentheses B close parentheses plus b cos open parentheses A close parentheses" width="172" height="64" style="vertical-align:-33px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»=«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mi»b«/mi»«mi»cos«/mi»«mfenced»«mi»C«/mi»«/mfenced»«mo»+«/mo»«mi»c«/mi»«mi»cos«/mi»«mfenced»«mi»B«/mi»«/mfenced»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mi»b«/mi»«mo»=«/mo»«mo»(«/mo»«mi»c«/mi»«mi»cos«/mi»«mfenced»«mi»A«/mi»«/mfenced»«mo»+«/mo»«mi»a«/mi»«mi»cos«/mi»«mfenced»«mi»C«/mi»«/mfenced»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mi»c«/mi»«mo»=«/mo»«mo»(«/mo»«mi»a«/mi»«mi»cos«/mi»«mfenced»«mi»B«/mi»«/mfenced»«mo»+«/mo»«mi»b«/mi»«mi»cos«/mi»«mfenced»«mi»A«/mi»«/mfenced»«/math»'/> By substituting these values in the given expression, we get, =&gt;<img src="data:image/png;base64,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" class="Wirisformula" alt="a plus b plus c" width="64" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»+«/mo»«mi»b«/mi»«mo»+«/mo»«mi»c«/mi»«/math»'/>

In <img src="data:image/png;base64,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" class="Wirisformula" alt="triangle A B C comma left parenthesis a plus b right parenthesis cos invisible function application C plus left parenthesis b plus c right parenthesis cos invisible function application A plus left parenthesis c plus a right parenthesis cos invisible function application B equals" width="362" height="17" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#9651;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mo»(«/mo»«mi»a«/mi»«mo»+«/mo»«mi»b«/mi»«mo»)«/mo»«mi»cos«/mi»«mo»§#8289;«/mo»«mi»C«/mi»«mo»+«/mo»«mo»(«/mo»«mi»b«/mi»«mo»+«/mo»«mi»c«/mi»«mo»)«/mo»«mi»cos«/mi»«mo»§#8289;«/mo»«mi»A«/mi»«mo»+«/mo»«mo»(«/mo»«mi»c«/mi»«mo»+«/mo»«mi»a«/mi»«mo»)«/mo»«mi»cos«/mi»«mo»§#8289;«/mo»«mi»B«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - in /_\abc,(a+b)cos c+(b+c)cos a+(c+a)cos b= 2(a+b+c) '/> a+b+c '/> b+c '/> a+b '/>

In /_\abc,(a+b)cos c+(b+c)cos a+(c+a)cos b= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="triangle A B C comma sum 1 divided by a c o s squared invisible function application A divided by 2 equals" width="195" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#9651;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mo»§#8721;«/mo»«mn»1«/mn»«mo»/«/mo»«mi»a«/mi»«mi»c«/mi»«mi»o«/mi»«msup»«mi»s«/mi»«mn»2«/mn»«/msup»«mo»§#8289;«/mo»«mi»A«/mi»«mo»/«/mo»«mn»2«/mn»«mo»=«/mo»«/math»'/>

Solution for the question - in /_\abc,sum1//acos^(2)a//2= 3sa '/> s^(2)//abc '/>0

In /_\abc,sum1//acos^(2)a//2= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="triangle A B C comma s squared t a n invisible function application A divided by 2 t a n invisible function application B divided by 2 t a n invisible function application C divided by 2 equals" width="267" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#9651;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«msup»«mi»s«/mi»«mn»2«/mn»«/msup»«mi»t«/mi»«mi»a«/mi»«mi»n«/mi»«mo»§#8289;«/mo»«mi»A«/mi»«mo»/«/mo»«mn»2«/mn»«mi»t«/mi»«mi»a«/mi»«mi»n«/mi»«mo»§#8289;«/mo»«mi»B«/mi»«mo»/«/mo»«mn»2«/mn»«mi»t«/mi»«mi»a«/mi»«mi»n«/mi»«mo»§#8289;«/mo»«mi»C«/mi»«mo»/«/mo»«mn»2«/mn»«mo»=«/mo»«/math»'/>

Solution for the question - in /_\abc,s^(2)tan a//2tan b//2tan c//2= 4rr2 a '/> a '/>

In /_\abc,s^(2)tan a//2tan b//2tan c//2= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="triangle A B C comma 4 R s sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals" width="278" height="17" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#9651;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mn»4«/mn»«mi»R«/mi»«mi»s«/mi»«mi»sin«/mi»«mo»§#8289;«/mo»«mi»A«/mi»«mo»/«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#8289;«/mo»«mi»B«/mi»«mo»/«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#8289;«/mo»«mi»C«/mi»«mo»/«/mo»«mn»2«/mn»«mo»=«/mo»«/math»'/>

Solution for the question - in /_\abc,48 sin a//2sin b//2sin c//2= 2rr2 a '/> a '/>

In /_\abc,48 sin a//2sin b//2sin c//2= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="A B C space comma space 4 R cos A divided by 2 space cos B divided by 2 space cos C divided by 2 equals" width="266" height="17" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mn»4«/mn»«mi»R«/mi»«mi»cos«/mi»«mi»A«/mi»«mo»/«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»cos«/mi»«mi»B«/mi»«mo»/«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»cos«/mi»«mi»C«/mi»«mo»/«/mo»«mn»2«/mn»«mo»=«/mo»«/math»'/>

Solution for the question - in abc,4r cos a//2cos b//2cos c//2= 2srsd

In abc,4r cos a//2cos b//2cos c//2= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="triangle A B C comma sum a cos invisible function application A equals" width="145" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#9651;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mo»§#8721;«/mo»«mi»a«/mi»«mi»cos«/mi»«mo»§#8289;«/mo»«mi»A«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - in /_\abc,sum ac 05 a= 2 reosacos bcos '/> 285 in asingsin '/> 4r5 a. asinbsinl '/> 4 reo5ac05bcos '/>

In /_\abc,sum ac 05 a= -Turito

In <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANsAAAATCAYAAAAZOHiZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAABYNJREFUeNrtW39k1V0YP+a6rteMyeTKxEyS5CWvmWT/TDKZRJIkGXklmcRkMq9XzGSS/plc6Y+MK5MkkUwy/TOZZF4xr2SSyLwmmcvec7yfrx7nfc73POf74967dT887D73fM99zjnP7/OdUtsLmympnjJuaFrQ1NvgvWq0HC20jC13tGm6qOlNg/esWeRoYYthhBjOdAJDdcEo46SAlwTfm2TvqByTWJ/y8OLwKyJmC9sYRzT9A+N5rKmU0tgOaHot4CXBgKaXTbBnnBwLWKeP58JdTWda6ihPL14EjB8VeM6apg+aVmAIZWZcj6YpTUuavmH8n5o6A2TZp2kVBrSoqSvFPizAS/t4CvK2CectY56eBp+zS46Dml4JeBzMfv8dsBfNhtF6/+AEiuc+wdhTGFtwfN8L46EwBnTP4l3V9ETTYXJQ3Vj8vUD5d8LQjMF9hAGGgkuFXOmRWeNb4bx7sM5yg5XKJ8crGJiPZ2Nc0/Utamg+Xc4c+5EmTcAo4tAJJXuu6bhjjOE/sHgnLN4YUo8s8QsiqDG4NaSYITAR9pKAF61xVhhJnmrqaIKI5pPjMlOXXvbUqm2Ial1b0NAkupx5+rgIr3dQ4K1nNJ3WdE7TnZgoOWbx7ms6SjzsSo7eZBoGV0MTRYpniLI+XrRG49H/0PQJafM8EzWMgu+tk/K0wzmswlvPkXRcIkc/U0r0e8oLowsVj36ZPfoMmUzGsztQ9ihVNb+zjr2+76jPx1GK1KADYyl1OVOY8H+NfP6k3Hcw/UhDorRtxTGuCk/RhjSsYuXFN3POk0+rH13KSsBzptFSFPCiNa7gMDux1mkm2tXrysEoq2nn30D0KiJNPxYgRxHr9fFC0kyjL7fJHlWZKOKTPYpA5zFHB/Z5ijG0u47zSqrLcecYdK77EdXsrtIVZmwBY7sJ743DW74nAqyTiBZhWeV3qbpP/ehOLip5d1LBG0p40RrturDDo5h5YhJKnRYbQl5cPUudXpXJcIYCZZ9idLIHZ2A3sgYFawzR5UzTR1thhhXfnp6At6EwnugiM+868YqDqAf3kO/zumtqJ4b+1drMLI3NrOEbwy+lNLak3tPI80WFdXCzMDZfu38eEYTipZVG+mSPvi8xe71m8U7CaIYFzUCJLmeaPo47rN4Yww7C26v4Nw4G0JCg6GNy/DMk5BdVft7/EVHKIwmel6aRfVAkSc1TD/ymZC16H0LSSEm7374aoY5YKrvr+sF1BmWMn4fztRGiy5mkkVz6aCvtOSsvd/2A3TblCuazVudxHZ3DLDFGZJpIOIfpSh0S8MwauauJK6oxLfAhNBTSIqRBImn3f7E+H2IU3Sf7MJOKKtT8NxzPlFDjnXXUmFJdzi19pLig6SH5+1bM2FkrB7+NQpaiAgWln69muKYBsmFPUswjbf1zayzigBtxl2a8/18ZzHOJaTpwPGm7f9VK/64TvZLKbur9p8zvL3tqrAqT4obqcmpIPFIZVt4NBWqPGTtiLWCONES6kEcvWanYbtRU10iuXkL3qWIVubMwItc9yC71X1t5Ex2lNHWL9FJ7DrXhIJFhjjHAemIJnr6ARs0oE5F9kF5q+9r9Ecyd7QyMw5z5A8ZwfLIXYLTHrL0e96TVy1YpVE6gy6mxpuRvxT8ki1Qxyk67Ql/J899hLLuY53rRmYo6h2v4vSHG27iMrYDmyybqgwMB++DKsV8z89i8z0hv3qOBsqTqdCkag240H2pQqpHA50Ne15K8VUKdexUOvoS9Ox4o+2EYzwai4PkYva6hXrOjXjWBLv+UcIX3GWLYoS/BNuJF5GZG2heRpehSLTQtTBr3zlG45vX/bL+r/7+ixPG2C6ZQz/h4LWxzmNC+MyY6bZV/Hm3hJ8O/L2b6FYHGUEIAAAFTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeDM5NDs8L21pPjxtaT5BPC9taT48bWk+QjwvbWk+PG1pPkM8L21pPjxtbz4sPC9tbz48bW8+JiN4MjIxMTs8L21vPjxtbz4oPC9tbz48bW8+KDwvbW8+PG1zdXA+PG1pPmI8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPi08L21vPjxtc3VwPjxtaT5jPC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4pPC9tbz48bW8+KTwvbW8+PG1vPi88L21vPjxtaT5hPC9taT48bWk+YzwvbWk+PG1pPm88L21pPjxtaT5zPC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT5BPC9taT48bW8+PTwvbW8+PC9tYXRoPt110yIAAAAASUVORK5CYII=" class="Wirisformula" alt="capital delta A B C comma sum left parenthesis left parenthesis b squared minus c squared right parenthesis right parenthesis divided by a c o s invisible function application A equals" width="219" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#916;«/mi»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mo»§#8721;«/mo»«mo»(«/mo»«mo»(«/mo»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»c«/mi»«mn»2«/mn»«/msup»«mo»)«/mo»«mo»)«/mo»«mo»/«/mo»«mi»a«/mi»«mi»c«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§#8289;«/mo»«mi»A«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - in /_\abc,sum((b^(2)-c^(2)))//acosa= 2delta '/> a '/>0s

In /_\abc,sum((b^(2)-c^(2)))//acosa= -Turito

Solution for the question - 4(x rarr pi//6)((3sin x-sqrt3cos x)//(6x-pi))= (-1)//sqrt3 '/> -sqrt3 '/> 1//sqrt3 '/> sqrt3 '/>

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

When CO2 dissolves in water the following equilibrium is established, CO2 + 2H2O H3O+ + HCO3– for which the equilibrium constant 3.8 10–7 and pH = 6.0. The ratio of to would be

13.4 6.0

The correct answer is:

Related Questions to study

In

In

In

In

In

In

In

In

In

In

If 'O' is the Orthocentre of then

If 'O' is the Orthocentre of then

In

In

In

In

In

In

In

In

In

In

In

In

In

In

In

In

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

$3.8 \times 10^{- 18}$
$3.8 \times 10^{- 13}$
13.4
6.0

The correct answer is: $3.8 cross times 10 to the power of negative 18 end exponent$

In $triangle A B C comma a b c sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals$

In $triangle A B C comma a b c sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals$

In $capital delta A B C comma a squared c o t invisible function application A plus b squared c o t invisible function application B plus C squared c o t invisible function application C equals$

In $capital delta A B C comma a squared c o t invisible function application A plus b squared c o t invisible function application B plus C squared c o t invisible function application C equals$

In $triangle A B C comma c o t invisible function application A divided by 2 plus c o t invisible function application B divided by 2 plus c o t invisible function application C divided by 2 equals$

In $triangle A B C comma c o t invisible function application A divided by 2 plus c o t invisible function application B divided by 2 plus c o t invisible function application C divided by 2 equals$

In $capital delta A B C comma c o t invisible function application A plus c o t invisible function application B plus c o t invisible function application C equals$

In $capital delta A B C comma c o t invisible function application A plus c o t invisible function application B plus c o t invisible function application C equals$

In $triangle A B C comma 4 R capital delta sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals$

In $triangle A B C comma 4 R capital delta sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals$

If 'O' is the Orthocentre of $triangle A B C$ then $O A equals$

If 'O' is the Orthocentre of $triangle A B C$ then $O A equals$

In $I n triangle A B C comma sum a cubed c o s invisible function application left parenthesis B minus C right parenthesis equals$

In $I n triangle A B C comma sum a cubed c o s invisible function application left parenthesis B minus C right parenthesis equals$

In $triangle A B C comma left parenthesis a plus b right parenthesis cos invisible function application C plus left parenthesis b plus c right parenthesis cos invisible function application A plus left parenthesis c plus a right parenthesis cos invisible function application B equals$

In $triangle A B C comma left parenthesis a plus b right parenthesis cos invisible function application C plus left parenthesis b plus c right parenthesis cos invisible function application A plus left parenthesis c plus a right parenthesis cos invisible function application B equals$

In $triangle A B C comma sum 1 divided by a c o s squared invisible function application A divided by 2 equals$

In $triangle A B C comma sum 1 divided by a c o s squared invisible function application A divided by 2 equals$

In $triangle A B C comma s squared t a n invisible function application A divided by 2 t a n invisible function application B divided by 2 t a n invisible function application C divided by 2 equals$

In $triangle A B C comma s squared t a n invisible function application A divided by 2 t a n invisible function application B divided by 2 t a n invisible function application C divided by 2 equals$

In $triangle A B C comma 4 R s sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals$

In $triangle A B C comma 4 R s sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals$

In $A B C space comma space 4 R cos A divided by 2 space cos B divided by 2 space cos C divided by 2 equals$

In $A B C space comma space 4 R cos A divided by 2 space cos B divided by 2 space cos C divided by 2 equals$

In $triangle A B C comma sum a cos invisible function application A equals$

In $triangle A B C comma sum a cos invisible function application A equals$

In $capital delta A B C comma sum left parenthesis left parenthesis b squared minus c squared right parenthesis right parenthesis divided by a c o s invisible function application A equals$

In $capital delta A B C comma sum left parenthesis left parenthesis b squared minus c squared right parenthesis right parenthesis divided by a c o s invisible function application A equals$