SOLUTION: Write the expression ((cos^2)x)(sin^2)x))/((tan^2)x(1-(sin^2)x)) in terms of only one circular function. Thank you!

Algebra ->  Trigonometry-basics -> SOLUTION: Write the expression ((cos^2)x)(sin^2)x))/((tan^2)x(1-(sin^2)x)) in terms of only one circular function. Thank you!      Log On


   



Question 359677: Write the expression ((cos^2)x)(sin^2)x))/((tan^2)x(1-(sin^2)x)) in terms of only one circular function.
Thank you!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let C=cos%28x%29, S=sin%28x%29, T=tan%28x%29=S%2FC

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+%28C%5E2%2AS%5E2%29%2F%28T%5E2%2A%281-S%5E2%29%29=+%28S%5E2%29%2F%28T%5E2%29
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+%28C%5E2%2AS%5E2%29%2F%28T%5E2%2A%281-S%5E2%29%29=+%28S%5E2%29%2F%28S%5E2%2FC%5E2%29
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+%28C%5E2%2AS%5E2%29%2F%28T%5E2%2A%281-S%5E2%29%29=+C%5E2
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+%28C%5E2%2AS%5E2%29%2F%28T%5E2%2A%281-S%5E2%29%29=+highlight%28%28cos%28x%29%29%5E2%29