By Team Aakash Byju's | 15th January 2023

A

B

C

D

4

2

1

0

What Is the Value of sin^2A + sin^4A if cos A + cos^2A = 1

Detailed Explanation

The correct answer is option  C . 1

Arrow

Given, cos A + cos  A = 1  rewrite this equation as

cos A = 1 - cos  A

∵ sin  A + cos  A = 1, the equation can be written as

cos A = sin  A

2

2

2

2

2

cos A + (cos A)  = 1

Substitute cos A = sin  A, in the given equation

=> sin  A + (sin  A)  = 1 (Substitution)

2

2

2

2

(∵ cos   A is the same as  (cos A)   )

2

2

2

sin  A + (sin  A)   = 1

=> sin  A + sin   A = 1  (∵ (sin  A)   is the same as sin  A)

2

2

2

2

4

2

4

2