Question

The value of $\sqrt{\left(\frac{1+\cos \theta }{1-\cos \theta }\right)}-\csc \theta -\cot \theta =$

Answer 1

$\sqrt{\frac{(1+\cos \theta )}{(1-\cos \theta )}\times \frac{(1+\cos \theta )}{(1+\cos \theta )}}-\cos \theta -\cot \theta$

$=\frac{1+\cos \theta }{\sin \theta }-cosec\theta -\cot \theta$

$=cosec\theta +\cos \theta -coses\theta -\cot \theta$

$=0$

$\therefore$ The value is zero $\left(0\right)$