If cos∅+(COS∅)²=1,the value of (sin∅)²+(sin∅)⁴=?
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Step-by-step explanation:
Given, sinθ+sin2θ=1
⇒sinθ=1−sin2θ=cos2θ
Therefore, cos2θ+cos4θ=cos2θ(1+cos2θ)
=sinθ(1+sinθ)
=sinθ+sin2θ
=1
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