Question

prove the following identity:
(1-cos theta/sin theta)-sin theta/ 1+cos theta)=0

Answer 1

Like this? \[\Huge \frac{1- \cos \theta}{\sin \theta} - \frac{\sin \theta}{1 + \cos \theta} = 0\]

Answer 2

= (1 - cosx)(1 + cosx) - sin^2x
-------------------------
sinx(1 + cosx)

= 1 - cos^2x - sin^2x
------------------
sinx(1 + cosx)

but 1 - cos^2x = sin^2x

so we get sin^2x - sin^2x
-------------- = 0
sinx(1 + cosx)

Answer 3

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