SOLUTION: Can you please help me solve this trigonometric identities question: 1)Prove the following identities. a) sinx cosx/tanx=1-sin^2 x

Algebra ->  Trigonometry-basics -> SOLUTION: Can you please help me solve this trigonometric identities question: 1)Prove the following identities. a) sinx cosx/tanx=1-sin^2 x      Log On


   



Question 204696: Can you please help me solve this trigonometric identities question: 1)Prove the following identities.
a) sinx cosx/tanx=1-sin^2 x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1)Prove the following identities.
a) sinx cosx/tanx=1-sin^2 x
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(sinx)(cosx)/[(sinx/cosx)] = cos^2 x
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Invert the denominator and multiply to get:
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(sinx)(cosx)[cosx/sinx] = cos^2x
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Cancel on the left side to get:
cos^2x = cos^2
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Cheers,
Stan H.