sinA+sin^2A=1 then what is the value of cos^2A+cos^4A
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Answer:
1
Explanation:
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!
1
Explanation:
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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