Question

How do you simplify

$\sin x+\cot x.\cos x$

Answer 1

$\sin x+\cot x.\cos x$

$=\sin x+\left(\frac{\cos x}{\sin x}\right).\cos x$

$=\frac{{\sin }^{2}x+{\cos }^{2}x}{\sin x}$

$=\frac{1}{\sin x}$

$=\cos ecx$ which is the required answer.