If Sintheta +sin²theta=1 , then sin²theta+sin⁴theta is ?
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Answer:
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Explanation:
Given, sinθ+sin2θ=1
⇒sinθ=1−sin2θ=cos2θ
Therefore, cos 2θ+cos4θ
=cos 2θ(1+cos 2θ)
=sinθ(1+sinθ)
=sinθ+sin2θ= 1
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