if sin theta + sin^2 theta = 1 then the value of the expression cos^2 theta + cos^4 theta is
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Answer:
Given, sinθ+sin
2
θ=1
⇒sinθ=1−sin
2
θ=cos
2
θ
Therefore, cos
2
θ+cos
4
θ=cos
2
θ(1+cos
2
θ)
=sinθ(1+sinθ)
=sinθ+sin
2
θ
=
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