Mathematics - Trigonometric Ratios & Identities Question with Solution | TestHub

$\begin{array}{rl}& \frac{\cos \theta }{1-\tan \theta }+\frac{\sin \theta }{1-\cot \theta }=\frac{\cos \theta }{1-\frac{\sin \theta }{\cos \theta }}+\frac{\sin \theta }{1-\frac{\cos \theta }{\sin \theta }}\\ =& \frac{{\cos }^2\theta }{\cos \theta -\sin \theta }-\frac{{\sin }^2\theta }{\cos \theta -\sin \theta }=\cos \theta +\sin \theta \end{array}$