Question

If$\cos \theta =\frac{2}{3}$,find$sec\theta$.

Short answer

The value of$sec\theta =\frac{3}{2}$.

Step-by-step solution

Step 1. Given information.

Consider the given value$\cos \theta =\frac{2}{3}$.

Step 2. Formula used.

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

Step 3. Finding sec θ.

Substitute the value in formula.

$$\begin{gathered} sec\theta =\frac{1}{\cos \theta } \\ sec\theta =\frac{1}{{\displaystyle \frac{2}{3}}} \\ sec\theta =\frac{3}{2} \end{gathered}$$