Question

How do you simplify $\frac{1}{secx}$?

Answer 1

Simplify the given expression:

$secx=\frac{hypotenuse}{base}$

The given expression is

$\frac{1}{secx}=\frac{1}{{\displaystyle \frac{hypotenuse}{base}}}$

$=\frac{base}{hypotenuse}$

We know that, $\cos x=\frac{base}{hypotenuse}$

Therefore, $\frac{1}{secx}=\cos x$

Hence, $\frac{1}{secx}$ can be simplified into $\cos x$.