Question

If the value of $\sec \theta =\frac{5}{2}$ what is the value of $\cos \theta$?

• A. $\frac{5}{2}$
• B. $\frac{2}{5}$
• C. $1$
• D. Can't say

Answer 1

The correct option is B

$\frac{2}{5}$

$\sec \theta$ and $\cos \theta$ are reciprocals of each other.

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

$\Rightarrow \cos \theta =1/\frac{5}{2}$
$\Rightarrow \cos \theta =\frac{2}{5}$