1.

If cos θ + cos2 θ = 1 ,the value of sin2 θ + sin4 θ is

Answer»

cosθ + cos2θ = 1

⇒ 1 - cos2θ = cosθ

⇒ sin2θ = cosθ

Now, sin2θ + sin4θ = sin2θ(1 + sin2θ)

= cosθ(1+ cosθ) (∵ sin2θ = cosθ)

= cosθ + cos2θ

= 1.



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