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. $Cannotsay$

Answer 1

The correct option is B $\frac{2}{5}$

$sec\theta andcos\theta$ are reciprocals of each other.
So, $cos\theta =\frac{1}{sec\theta }$
$\because sec\theta =\frac{5}{2}$ .....(given)
$\therefore cos\theta =\frac{1}{\frac{5}{2}}$
$=\frac{2}{5}$