Question

What is the maximum value of $\frac{1}{\cos ec\theta }$?

Answer 1

Evaluating the given expression:

$\Rightarrow \frac{1}{\cos ec\theta }$

As, $\frac{1}{\cos ec\theta }=\sin \theta$

And maximum value of $\mathrm{sin\theta }$ is 1 at $\mathrm{\theta }=90°$.

Therefore, maximum value of $\frac{1}{\cos ec\theta }$ is also 1.

Hence, maximum value of $\frac{1}{\cos ec\theta }$ is 1.