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If sinA + sin² A = 1, then the value of the expression (cos2 A+cos4A) is ______________.
Question

If sinA + sin² A = 1, then the value of the expression (cos2 A+cos4A) is ______________.

A.

3/2

B.

1

C.

2

D.

1/2

Correct option is B

Given: 

sin⁡A+sin⁡2A=1\sin A + \sin^2 A = 1 

Concept and Formula Used:

​sin⁡2A+cos⁡2A=1\sin^2 A + \cos^2 A = 1 

Solution: 

As per the question;

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