Asked by Katie

How would you simplify and prove (csc x - cot x) = (1-cos x)/(1+cos x)? I've tried a lot of different starts, but I keep getting stuck.

Answers

Answered by Reiny
One of the first things you should do when proving identities is to make sure they are true by taking any value of the angle.

I tried 45 degrees and

Left side = .707106 - 1 = -.2928...
right side = (1-.707)/(1+.707) = .17...

No wonder you could not "prove" it, the equation is not an identity.
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