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If sin θ + sin2 θ = 1, then the value of cos2 θ + cos4 θ is equal to:

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Best answer
Correct Answer - Option 4 : 1

Given - 

sin θ + sin2 θ = 1

Formula used - 

sin2θ + cos2θ = 1

Solution - 

sin θ + sin2 θ = 1

⇒ sinθ = 1 - sin2θ = cos2θ

⇒ sinθ = cos2θ 

⇒ cos2θ + cos4θ = sinθ + sin2θ = 1

∴ cos2θ + cos4θ = 1.

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