Chapter 14.2, Problem 11PPS

To determine

To Prove: The value of $Sin\theta \sec \theta \cot \theta =1$

Explanation of Solution

Given information :

We know that, the given equation is $\sin \theta \sec \theta \cot \theta$

Proof :

  $\begin{array}{l}LHS=\sin \theta \sec \theta \cot \theta \\ =\sin \theta \times \frac{1}{\cos \theta }\times \frac{\cos \theta }{\sin \theta },\left[\sec \theta =\frac{1}{\cos \theta };\cot \theta =\frac{\cos \theta }{\sin \theta }\right]\\ =1=RHS\end{array}$