Question

tanx + cot x = (secx)(cscx)

prove the identity

Answer 1

\[\frac{sinx}{cosx} + \frac{cosx}{sinx}\]
\[=\frac{\sin ² x + \cos ² x}{ \cos x \sin x}\]
\[=\frac{1}{cosx sinx}\]
\[=\frac{1}{cosx} \frac{1}{sinx}\]
=sec x cosec x