If cos A + cos² A = 1 then (sin² A + sin⁴ A) =
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Step-by-step explanation:cosA+ cos²A=1
CosA=1-cos²A
CosA=sin²A. [Therefore 1-cos²A=sin²A]
So ,
=Sin²A+sin⁴A
=Sin²A(1+sin²A).
=CosA(1+cosA). [therefore sin²A=cosA]
CosA+cos²A. [Therefore cos²A+cosA=1]
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