Prove that (cscx - cotx)^2 = (1-cosx)/(1+cosx)

  • Thread starter Random-Hero-
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  • #1

Homework Statement

I can't seem to figure out how to prove that (cscx - cotx)^2 = (1-cosx)/(1+cosx).

Homework Equations

I believe I just need to do appropriate substitution using compound angle formulas, double angle formulas, etc...

The Attempt at a Solution

I got as far as this

1 + cot^2x - 2(1/tanx)(1/sinx) + cot^2x = (1-cosx)/(1+cosx)

Can anyone help me figure this out? Thanks in advance!
  • #2
It's not that complicated. Turn everything into sin's and cos's. The denominator is sin(x)^2. That's (1-cos^2(x)). Factor it.

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