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Prove the trig identity cos(4x)=2-sec^2(2x)/sec^2(2x)Asked by kevin
prove the trig identity
cos(4x) = 2-sec^2(2x)/sec^2(2x)
cos(4x) = 2-sec^2(2x)/sec^2(2x)
Answers
Answered by
drwls
Recognize that
[2-sec^2(2x)]/sec^2(2x)
= 2 cos^2(2x) - 1
= cos^2(2x) - sin^2(2x)
and use the double angle identity.
[2-sec^2(2x)]/sec^2(2x)
= 2 cos^2(2x) - 1
= cos^2(2x) - sin^2(2x)
and use the double angle identity.
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