Question

Prove the following trigonometric identities.

$\frac{\cot A-\cos A}{\cot A+\cos A}=\frac{\mathrm{cosec}A-1}{\mathrm{cosec}A+1}$

Answer 1

In the given question, we need to prove

Here, we will first solve the LHS.

Now, using, we get

On further solving by taking the reciprocal of the denominator, we get,

Now, taking common from both the numerator and the denominator, we get

Hence proved.