Maths-

General

Easy

Question

if $tan space alpha comma tan space beta$ are the roots of the equation, $x squared plus p x plus q equals 0 left parenthesis p not equal to 0 right parenthesis$ then

$\cos (α + β) = 1 - q$
$\sin (α + β) = - p$
$\tan (α + β) = p / (q - 1)$
$c o t (α + β) = p / (q - 1)$

The correct answer is: $tan space left parenthesis alpha plus beta right parenthesis equals p divided by left parenthesis q minus 1 right parenthesis$

$table attributes columnalign right columnspacing 1em end attributes row cell tan invisible function application alpha plus tan invisible function application beta equals negative p comma tan invisible function application alpha tan invisible function application beta equals q end cell row cell tan invisible function application left parenthesis alpha plus beta right parenthesis equals fraction numerator negative p over denominator 1 minus q end fraction equals fraction numerator p over denominator q minus 1 end fraction end cell end table$

$cot space B equals 2 tan space left parenthesis A minus B right parenthesis not stretchy rightwards double arrow 2 tan space B plus cot space B equals$

Maths-General

General

Maths-

$text If end text sin text end text B equals 1 fifth times sin space left parenthesis 2 A plus B right parenthesis text then end text fraction numerator tan begin display style text end text end style left parenthesis A plus B right parenthesis over denominator tan begin display style text end text end style A end fraction equals$

Maths-General

General

Maths-

$text If end text sin text end text x plus sin space y equals 3 left parenthesis cos space y minus cos space x right parenthesis text then end text fraction numerator sin begin display style text end text end style 3 x over denominator sin begin display style text end text end style 3 y end fraction equals$

Maths-General

General

Maths-

$cos squared space left parenthesis A minus B right parenthesis plus cos squared space B minus 2 cos space left parenthesis A minus B right parenthesis cos A cos space B equals$

Maths-General

General

Maths-

$text If end text cos text end text alpha plus cos space beta equals 0 equals sin space alpha plus sin space beta text then end text cos text end text left parenthesis alpha minus beta right parenthesis equals$

Maths-General

General

Maths-

$text If end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text and end text tan space Atan space straight B equals 2 text end text$ then which one of the following is true

Maths-General

General

Maths-

$cos space alpha sin space left parenthesis beta minus gamma right parenthesis plus cos space beta sin space left parenthesis gamma minus alpha right parenthesis plus cos space gamma sin space left parenthesis alpha minus beta right parenthesis equals$

Maths-General

General

Maths-

$text If tan end text straight alpha equals 1 half text and end text sin text end text straight beta equals fraction numerator 1 over denominator square root of straight pi end fraction text where end text 0 less than straight alpha subscript 4 straight beta less than straight pi over 2 text then end text 2 straight beta text is equal to end text$

Maths-General

General

Maths-

$text If end text cos text end text straight A equals negative 3 over 5 comma sin space straight B equals 7 over 25 text and end text 90 to the power of ring operator less than straight A less than 180 to the power of ring operator comma 0 to the power of ring operator less than straight B less than 90 to the power of ring operator text then end text tan text end text left parenthesis straight A plus straight B right parenthesis equals$

Maths-General

General

Maths-

$text If end text cos text end text alpha equals negative 12 over 13 comma cot space beta equals 24 over 7 comma 90 to the power of ring operator less than alpha less than 180 to the power of ring operator$ and $180 to the power of ring operator less than straight beta less than 270 to the power of ring operator$ then the quadrant in which $alpha plus beta$ lies

Maths-General

General

Maths-

$text If end text tan text end text straight A equals 17 over 18 comma tan space straight B equals 1 over 35 text then end text cos text end text left parenthesis straight A plus straight B right parenthesis equals$

Maths-General

General

Maths-

$text If end text straight A comma straight B text are acute angles, end text sin space straight A equals 4 over 5 comma tan invisible function application straight B equals 5 over 12 text then end text sin text end text left parenthesis straight A plus straight B right parenthesis equals$

Maths-General

General

Maths-

$text In a end text straight triangle ABC comma straight A text is obtuse, end text sin invisible function application straight A equals 3 over 5 comma sin space straight B equals 5 over 13$ then sin c=

Maths-General

General

Maths-

$text If end text sin text end text straight A equals fraction numerator 1 over denominator square root of 2 straight pi end root end fraction comma sin space straight B equals fraction numerator 1 over denominator square root of 5 end fraction comma 0 less than straight A comma straight B less than straight pi over 4 text then end text straight A plus straight B equals$

Maths-General

General

Maths-

$text If end text tan text end text straight A equals fraction numerator sin begin display style space end style straight B over denominator 1 minus xcos space straight B end fraction text and end text tan text end text straight B equals fraction numerator ysin space straight A over denominator 1 minus ycos space straight A end fraction text then end text fraction numerator sin begin display style text end text end style straight A over denominator sin begin display style text end text end style straight B end fraction equals$

Maths-General

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if $tan space alpha comma tan space beta$ are the roots of the equation, $x squared plus p x plus q equals 0 left parenthesis p not equal to 0 right parenthesis$ then

$\cos (α + β) = 1 - q$
$\sin (α + β) = - p$
$\tan (α + β) = p / (q - 1)$
$c o t (α + β) = p / (q - 1)$

The correct answer is: $tan space left parenthesis alpha plus beta right parenthesis equals p divided by left parenthesis q minus 1 right parenthesis$

Related Questions to study

$cot space B equals 2 tan space left parenthesis A minus B right parenthesis not stretchy rightwards double arrow 2 tan space B plus cot space B equals$

$cot space B equals 2 tan space left parenthesis A minus B right parenthesis not stretchy rightwards double arrow 2 tan space B plus cot space B equals$

$cos squared space left parenthesis A minus B right parenthesis plus cos squared space B minus 2 cos space left parenthesis A minus B right parenthesis cos A cos space B equals$

$cos squared space left parenthesis A minus B right parenthesis plus cos squared space B minus 2 cos space left parenthesis A minus B right parenthesis cos A cos space B equals$

$text If end text cos text end text alpha plus cos space beta equals 0 equals sin space alpha plus sin space beta text then end text cos text end text left parenthesis alpha minus beta right parenthesis equals$

$text If end text cos text end text alpha plus cos space beta equals 0 equals sin space alpha plus sin space beta text then end text cos text end text left parenthesis alpha minus beta right parenthesis equals$

$text If end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text and end text tan space Atan space straight B equals 2 text end text$ then which one of the following is true

$text If end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text and end text tan space Atan space straight B equals 2 text end text$ then which one of the following is true

$cos space alpha sin space left parenthesis beta minus gamma right parenthesis plus cos space beta sin space left parenthesis gamma minus alpha right parenthesis plus cos space gamma sin space left parenthesis alpha minus beta right parenthesis equals$

$cos space alpha sin space left parenthesis beta minus gamma right parenthesis plus cos space beta sin space left parenthesis gamma minus alpha right parenthesis plus cos space gamma sin space left parenthesis alpha minus beta right parenthesis equals$

$text If end text tan text end text straight A equals 17 over 18 comma tan space straight B equals 1 over 35 text then end text cos text end text left parenthesis straight A plus straight B right parenthesis equals$

$text If end text tan text end text straight A equals 17 over 18 comma tan space straight B equals 1 over 35 text then end text cos text end text left parenthesis straight A plus straight B right parenthesis equals$

$text If end text straight A comma straight B text are acute angles, end text sin space straight A equals 4 over 5 comma tan invisible function application straight B equals 5 over 12 text then end text sin text end text left parenthesis straight A plus straight B right parenthesis equals$

$text If end text straight A comma straight B text are acute angles, end text sin space straight A equals 4 over 5 comma tan invisible function application straight B equals 5 over 12 text then end text sin text end text left parenthesis straight A plus straight B right parenthesis equals$

$text In a end text straight triangle ABC comma straight A text is obtuse, end text sin invisible function application straight A equals 3 over 5 comma sin space straight B equals 5 over 13$ then sin c=

$text In a end text straight triangle ABC comma straight A text is obtuse, end text sin invisible function application straight A equals 3 over 5 comma sin space straight B equals 5 over 13$ then sin c=

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if are the roots of the equation, then

The correct answer is:

Related Questions to study

then which one of the following is true

then which one of the following is true

and then the quadrant in which lies

and then the quadrant in which lies

then sin c=

then sin c=

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if $tan space alpha comma tan space beta$ are the roots of the equation, $x squared plus p x plus q equals 0 left parenthesis p not equal to 0 right parenthesis$ then

The correct answer is: $tan space left parenthesis alpha plus beta right parenthesis equals p divided by left parenthesis q minus 1 right parenthesis$

$text If end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text and end text tan space Atan space straight B equals 2 text end text$ then which one of the following is true

$text If end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text and end text tan space Atan space straight B equals 2 text end text$ then which one of the following is true

$text In a end text straight triangle ABC comma straight A text is obtuse, end text sin invisible function application straight A equals 3 over 5 comma sin space straight B equals 5 over 13$ then sin c=

$text In a end text straight triangle ABC comma straight A text is obtuse, end text sin invisible function application straight A equals 3 over 5 comma sin space straight B equals 5 over 13$ then sin c=