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haleyking345
Group Title
Verifying Trigonometric Identities
1.) cos^2 xsin^2 x
answer:12sin^2 x
2.) cos^2 xsin^2 x
answer= 2cos^2 x 1
This is confusing. Both problems start the same but equal different things. How would you solve these?
 one year ago
 one year ago
haleyking345 Group Title
Verifying Trigonometric Identities 1.) cos^2 xsin^2 x answer:12sin^2 x 2.) cos^2 xsin^2 x answer= 2cos^2 x 1 This is confusing. Both problems start the same but equal different things. How would you solve these?
 one year ago
 one year ago

This Question is Closed

daniel987600 Group TitleBest ResponseYou've already chosen the best response.1
They both start from: \[\cos^2(x)  \sin^2(x)\] We also know:\[\cos^2(x) + \sin^2(x) = 1\] Now we can either substitute \[1  \cos^2(x) =\sin^2(x) \]or \[1  \sin^2(x) = \cos^2(x)\] Depending on which substitution we do, we get either (Substitution 1):\[\cos^2(x)  (1  \cos^2(x)) = 2\cos^2(x)  1\] or (Substitution 2):\[(1  \sin^2(x))  \sin^2(x) = 1  2\sin^2(x)\]
 one year ago
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