# What is the maximum value of 1sec θ?

Question:

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

Solution:

The maximum value of $\frac{1}{\sec \theta}$ is 1 because the maximum value of $\cos \theta$ is 1 that is

$\frac{1}{\sec \theta}=\cos \theta$

$\frac{1}{\sec \theta}=1$