Question

if sinx + sin^2x =1 then what is cos^2 x+ cos^4x

Answer 1

Answer: 1

Step-by-step explanation:

sinx+sin2x=1

or sinx =1-sin2x

=cos2x

Therefore sinx=cos2x........(1)

Therefore sin2x=(cos2x)^2

or sin2x=cos4x.......(2)

Adding equation (1) and (2) we get,

sinx+sin2x=cos2x+cos4x

or cos2x+cos4x=1 (since sinx+sin2x=1)

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