if sinA +sin ^2A=1 prove that cosA^2+cosA^4=1
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sinA+sin²A=1 - (i) (Given)
= sinA=1-sin²A
= sinA=cos²A - (ii) (1-sin²A=cos²A)
sinA+sin²A=1 (from eq. (i))
=cos²A+(cos²A)²=1
=cos²A+cos⁴A=1
Hence, Proved.
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