Question

proove

$\frac{cosecA}{\cot A+\tan A}=\cos A$

Answer 1

$\frac{\csc A}{\cot A+\tan A}=\frac{\frac{1}{\sin A}}{\frac{\cos A}{\sin A}+\frac{\sin A}{\cos A}}=\frac{1}{\sin A}\times \frac{\sin A\cos A}{1}$

$=\cos A$