# What is the maximum value

Question:

What is the maximum value of $\frac{1}{\operatorname{cosec} \theta} ?$

Solution:

The maximum value of $\frac{1}{\operatorname{cosec} \theta}$ is 1 because the maximum value of $\sin \theta$ is 1 that is

$\frac{1}{\operatorname{cosec} \theta}=\sin \theta$

$\frac{1}{\operatorname{cosec} \theta}=1$