Question

sinO + sin^2O = 1 , prove Cos^2O +Cos^4O =1

Answer 1

ANSWER :-

Our starting goal is to turn all terms into cosine. Use the identity sin2θ+cos2θ=1.

sina+1−cos2a=1

sina−cos2a=0

sina=cos2a

Square both sides to get rid of the sine.

(sina)2=(cos2a)2

sin2a=cos4a

Reuse sin2θ+cos2θ=1:

1−cos2a=cos4a

1=cos4a+cos2a

Hopefully this helps!

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