How does one verify \frac{\cos^2x-\sin^2x}{1-\tan^2x}=\cos^2x ? \frac{\cos^2x-\sin^2x}{1-\tan^2x}=\cos^2x I know that there are

Salvatore Boone 2021-12-17 Answered
How does one verify cos2xsin2x1tan2x=cos2x ?
cos2xsin2x1tan2x=cos2x
I know that there are a few properties in here, but I don't know how the signs would effect them.
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Expert Answer

sonorous9n
Answered 2021-12-18 Author has 34 answers
cos2xsin2x1tan2x
=cos2xsin2x1sin2xcos2x
=(cos2xsin2x)cos2xsin2xcos2x
=cos2x Proved.

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Durst37
Answered 2021-12-19 Author has 37 answers
The given equation is,
cos2xsin2x1tan2x=cos2x
LHS.
cos2xsin2x1sin2xcos2x
cos2xsin2xcos2xsin2xcos2x
(cos2xsin2x)cos2x(cos2xsin2x)
cos2x
Hence Proved!

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