Question

If $\text{cosec}\theta +\cot \theta =5$, then value of $\cos \theta$ is equal to.

Answer 1

Consider the problem

$\begin{array}{c}\cot \theta +\cos ec\theta =5\\ \frac{\cos \theta }{\sin \theta }+\frac{1}{\sin \theta }=5\\ \frac{\cos \theta +1}{\sin \theta }=5\\ \cos \theta =5\sin \theta -1\end{array}$