Question

if cos A +cos²A = 1 then find the value of the expression sin²A +sin⁴A is​

Answer 1

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Answer 2

Answer:

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]