Question

If sinA + sin2 A = 1, then the value of the expression. (cos2 A + cos4 A) is. _________

Answer 1

Answer:

1

Step-by-step explanation:

our starting goal is to turn all terms into cosine. use the identity sin²theta + cos²theta = 1.

sin a + 1 - cos² a = 1

sin a - cos² a = 0

sin a = cos² a

square both side to get ride of sine.

(sin a)² = (cos² a)²

sin² a = cos⁴ a

reuse sin²theta + cos²theta = 1 :

1 - cos² a = cos⁴ a

1 = cos⁴a + cos²a

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