Trig Identity: sin^2(x)[(cos^2(x)/sin^2(x)) + 1] = 1

[obocher]

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I cant figure out the steps to prove this identity

 

[daon]

Re: Trig Proving Question

Distribute the sin^2 and simplify. You should see a pathagorean identity.

 

[fasteddie65]

Another way: cos^2 ø/sin^2 ø = cot^2 ø.
cot^2 ø + 1 = csc^2 ø.
sin^2 ø • csc^2 ø = 1