Is the Identity sin2x/(1-cos2x) = cotx Provable?

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SUMMARY

The identity sin(2x)/(1-cos(2x)) = cot(x) is provable using trigonometric identities. By applying the double angle formulas, specifically substituting cos(2x) with 2cos²(x) - 1 and sin(2x) with 2sin(x)cos(x), the identity can be derived straightforwardly. This approach confirms the validity of the identity through established trigonometric principles.

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Ive been trying to prove this identity for the past hour, and I can't seem to do it. I am starting to think its not possible. Heres the identity.
sin2x/1-cos2x = cotx
Can anyone give me some kind of hint. :frown:
 
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First of all, learn to write your formulas PROPERLY!
There is a vast difference between sin(2x)/1-cos(2x) and sin(2x)/(1-cos(2x)).
The last one is the expression you should have used.

To derive the identity, recall the double angle formulas.
 
Substitute the formula 2cos^x - 1 for cos2x and 2sinxcosx for sin2x. then you just straight away ge the answer.
 

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