Question

Please help me answer this question.

Verify the identity for trigonometric function attached. Thanks

Answer 1

Explanation:

`( \cot(x) - 1 )/( \cot(x) + 1) \\ \cot(x) = (1)/( \tan(x) ) \\ ((1)/( \tan(x) ) - 1) / ( (1)/( \tan(x) + 1) ) \\ multiply \: though \: by \: \tan(x) \\ \tan(x) * ( (1)/( \tan(x) ) - 1 ) / \tan(x) * ( (1)/( \tan(x) ) + 1) \\ = 1 - \tan(x) / 1 + \tan(x) \\ ( \cot(x) - 1)/( \cot(x) + 1 ) = (1 - \tan(x) )/(1 + \tan(x) )`