Maths-
General
Easy

Question

In a right angled triangle ABC, stack C with _ below equals 90 to the power of ring operator end exponent text , end text then cos to the power of 2 end exponent invisible function application A plus cos to the power of 2 end exponent invisible function application B equals

  1. 2    
  2. 1    
  3. fraction numerator 1 over denominator 2 end fraction    
  4. fraction numerator 3 over denominator 4 end fraction    

The correct answer is: 1

Related Questions to study

General
Maths-

If cos invisible function application theta subscript 1 end subscript plus cos invisible function application theta subscript 2 end subscript plus cos invisible function application theta subscript 3 end subscript plus cos invisible function application theta subscript 4 end subscript plus cos invisible function application theta subscript 5 end subscript equals 5 then sin invisible function application theta subscript 1 end subscript plus sin invisible function application theta subscript 2 end subscript plus sin invisible function application theta subscript 3 end subscript plus sin invisible function application theta subscript 4 end subscript plus sin invisible function application theta subscript 5 end subscript equals

If cos invisible function application theta subscript 1 end subscript plus cos invisible function application theta subscript 2 end subscript plus cos invisible function application theta subscript 3 end subscript plus cos invisible function application theta subscript 4 end subscript plus cos invisible function application theta subscript 5 end subscript equals 5 then sin invisible function application theta subscript 1 end subscript plus sin invisible function application theta subscript 2 end subscript plus sin invisible function application theta subscript 3 end subscript plus sin invisible function application theta subscript 4 end subscript plus sin invisible function application theta subscript 5 end subscript equals

Maths-General
General
Maths-

fraction numerator sin invisible function application 150 to the power of ring operator end exponent minus 5 cos invisible function application 300 to the power of ring operator end exponent plus 7 tan invisible function application 225 to the power of ring operator end exponent over denominator tan invisible function application 135 to the power of ring operator end exponent plus 3 sin invisible function application 210 to the power of ring operator end exponent end fraction equals

fraction numerator sin invisible function application 150 to the power of ring operator end exponent minus 5 cos invisible function application 300 to the power of ring operator end exponent plus 7 tan invisible function application 225 to the power of ring operator end exponent over denominator tan invisible function application 135 to the power of ring operator end exponent plus 3 sin invisible function application 210 to the power of ring operator end exponent end fraction equals

Maths-General
General
Maths-

The value of s i n to the power of 6 end exponent invisible function application theta plus c o s to the power of 6 end exponent invisible function application theta plus 3 s i n to the power of 2 end exponent invisible function application theta c o s to the power of 2 end exponent invisible function application theta is

The value of s i n to the power of 6 end exponent invisible function application theta plus c o s to the power of 6 end exponent invisible function application theta plus 3 s i n to the power of 2 end exponent invisible function application theta c o s to the power of 2 end exponent invisible function application theta is

Maths-General
parallel
General
Maths-

If cos invisible function application open parentheses x minus y close parentheses equals negative 1, then cos invisible function application x plus cos invisible function application y equals

If cos invisible function application open parentheses x minus y close parentheses equals negative 1, then cos invisible function application x plus cos invisible function application y equals

Maths-General
General
Maths-

sec invisible function application A plus tan invisible function application A equals 3 rightwards double arrow sec invisible function application A equals

sec invisible function application A plus tan invisible function application A equals 3 rightwards double arrow sec invisible function application A equals

Maths-General
General
Maths-

The number of values of a for which open parentheses a to the power of 2 end exponent minus 3 a plus 2 close parentheses x to the power of 2 end exponent plus open parentheses a to the power of 2 end exponent minus 5 a plus 6 close parentheses x plus a to the power of 2 end exponent minus 4 equals 0 is an identity in x is

The number of values of a for which open parentheses a to the power of 2 end exponent minus 3 a plus 2 close parentheses x to the power of 2 end exponent plus open parentheses a to the power of 2 end exponent minus 5 a plus 6 close parentheses x plus a to the power of 2 end exponent minus 4 equals 0 is an identity in x is

Maths-General
parallel
General
Maths-

If alpha beta gamma are the roots of x to the power of 3 end exponent minus x to the power of 2 end exponent minus 1 equals 0 then the value of sum fraction numerator 1 plus alpha over denominator 1 minus alpha end fraction is equal to

If alpha beta gamma are the roots of x to the power of 3 end exponent minus x to the power of 2 end exponent minus 1 equals 0 then the value of sum fraction numerator 1 plus alpha over denominator 1 minus alpha end fraction is equal to

Maths-General
General
Maths-

Let a x to the power of 2 end exponent plus b x plus c equals 0 comma a comma b comma c element of R comma be a quadratic equation. If vertical line b vertical line greater than vertical line a plus c vertical line then the roots of the equation will be such that

Let a x to the power of 2 end exponent plus b x plus c equals 0 comma a comma b comma c element of R comma be a quadratic equation. If vertical line b vertical line greater than vertical line a plus c vertical line then the roots of the equation will be such that

Maths-General
General
Maths-

If, for f open parentheses x close parentheses equals x to the power of 2 end exponent plus 2 b x plus 2 c to the power of 2 end exponent text  and  end text g open parentheses x close parentheses equals negative x to the power of 2 end exponent minus 2 c x plus b to the power of 2 end exponent comma m i n f open parentheses x close parentheses greater than m a x g open parentheses x close parentheses comma then

If, for f open parentheses x close parentheses equals x to the power of 2 end exponent plus 2 b x plus 2 c to the power of 2 end exponent text  and  end text g open parentheses x close parentheses equals negative x to the power of 2 end exponent minus 2 c x plus b to the power of 2 end exponent comma m i n f open parentheses x close parentheses greater than m a x g open parentheses x close parentheses comma then

Maths-General
parallel
General
Maths-

Suppose A,B,C are defined as A equals a to the power of 2 end exponent b plus a b to the power of 2 end exponent minus a to the power of 2 end exponent c minus a c to the power of 2 end exponent comma B equals b to the power of 2 end exponent c plus b c to the power of 2 end exponent minus a to the power of 2 end exponent b minus a b to the power of 2 end exponent comma and C equals a to the power of 2 end exponent c plus c to the power of 2 end exponent a minus c b to the power of 2 end exponent minus c to the power of 2 end exponent b text  where  end text a greater than b greater than c greater than 0 and the equation A x to the power of 2 end exponent plus B x plus C equals 0 has equal roots, then a,b,c are in

Suppose A,B,C are defined as A equals a to the power of 2 end exponent b plus a b to the power of 2 end exponent minus a to the power of 2 end exponent c minus a c to the power of 2 end exponent comma B equals b to the power of 2 end exponent c plus b c to the power of 2 end exponent minus a to the power of 2 end exponent b minus a b to the power of 2 end exponent comma and C equals a to the power of 2 end exponent c plus c to the power of 2 end exponent a minus c b to the power of 2 end exponent minus c to the power of 2 end exponent b text  where  end text a greater than b greater than c greater than 0 and the equation A x to the power of 2 end exponent plus B x plus C equals 0 has equal roots, then a,b,c are in

Maths-General
General
Maths-

Consider the quadratic equation a x to the power of 2 end exponent minus b x plus c equals 0 comma a comma b comma c element of N If the given equation has two distinct real roots belonging to (1, 2)then

Consider the quadratic equation a x to the power of 2 end exponent minus b x plus c equals 0 comma a comma b comma c element of N If the given equation has two distinct real roots belonging to (1, 2)then

Maths-General
General
Maths-

If the sum of the roots of the quadratic equation, a x to the power of 2 end exponent plus b x plus c equals 0 is equal to sum of the squares of their reciprocals, then fraction numerator a over denominator c end fraction comma fraction numerator b over denominator a end fraction comma fraction numerator c over denominator b end fraction are in :

If the sum of the roots of the quadratic equation, a x to the power of 2 end exponent plus b x plus c equals 0 is equal to sum of the squares of their reciprocals, then fraction numerator a over denominator c end fraction comma fraction numerator b over denominator a end fraction comma fraction numerator c over denominator b end fraction are in :

Maths-General
parallel
General
Maths-

All possible quadratic equations a x to the power of 2 end exponent plus b x plus 1 equals 0 taking a stack I with hat on top left curly bracket 1 , 2 comma 3 comma horizontal ellipsis n right curly bracket comma b stack I with hat on top left curly bracket 1 comma negative 2 comma negative 3 comma horizontal ellipsis horizontal ellipsis minus n right curly bracket and if open parentheses a subscript i end subscript comma b subscript i end subscript close parentheses i equals 1 , 2 comma 3 comma horizontal ellipsis.. n represent solution sets of these equations then text å  end text fraction numerator 1 over denominator a subscript i end subscript end fraction plus a to the power of ring operator end exponent fraction numerator 1 over denominator b subscript i end subscript end fraction equals

All possible quadratic equations a x to the power of 2 end exponent plus b x plus 1 equals 0 taking a stack I with hat on top left curly bracket 1 , 2 comma 3 comma horizontal ellipsis n right curly bracket comma b stack I with hat on top left curly bracket 1 comma negative 2 comma negative 3 comma horizontal ellipsis horizontal ellipsis minus n right curly bracket and if open parentheses a subscript i end subscript comma b subscript i end subscript close parentheses i equals 1 , 2 comma 3 comma horizontal ellipsis.. n represent solution sets of these equations then text å  end text fraction numerator 1 over denominator a subscript i end subscript end fraction plus a to the power of ring operator end exponent fraction numerator 1 over denominator b subscript i end subscript end fraction equals

Maths-General
General
Maths-

Let f left parenthesis x right parenthesis equals fraction numerator open parentheses 2 x to the power of 3 end exponent minus 9 x to the power of 2 end exponent plus 12 x plus 3 close parentheses left parenthesis x minus a right parenthesis over denominator left parenthesis x minus a right parenthesis end fraction If range of f(x) is a proper subset of the set of real numbers, then the most exhaustive set in which a lies is

Let f left parenthesis x right parenthesis equals fraction numerator open parentheses 2 x to the power of 3 end exponent minus 9 x to the power of 2 end exponent plus 12 x plus 3 close parentheses left parenthesis x minus a right parenthesis over denominator left parenthesis x minus a right parenthesis end fraction If range of f(x) is a proper subset of the set of real numbers, then the most exhaustive set in which a lies is

Maths-General
General
Maths-

If open parentheses b to the power of 2 end exponent minus 4 a c close parentheses to the power of 2 end exponent open parentheses 1 plus 4 a to the power of 2 end exponent close parentheses less than 64 a to the power of 2 end exponent comma a less than 0 comma then maximum value of quadratic expression a x to the power of 2 end exponent plus b x plus c is always less than

If open parentheses b to the power of 2 end exponent minus 4 a c close parentheses to the power of 2 end exponent open parentheses 1 plus 4 a to the power of 2 end exponent close parentheses less than 64 a to the power of 2 end exponent comma a less than 0 comma then maximum value of quadratic expression a x to the power of 2 end exponent plus b x plus c is always less than

Maths-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.