Answer:
proved.
Explanation:

Taking R.H.S

Multiply and divide first term by cos x and second term by sinx

we know tanx = sinx/cosx and cotx = cosx/sinx

Taking minus(-) sign common from second term

taking LCM of cosx-sinx and cosx-sinx is cosx-sinx

We know a^2-b^2 = (a+b)(a-b), Applying this formula:

Hence proved