Chapter 8.2, Problem 2AYU

If $\theta$ is an acute angle, solve the equation $\cos \theta =\frac{\sqrt{3}}{2}$. (pp. 472-475)

To determine

To find: The value of $\theta$ for the equation $\text{cos}\text{θ} = \frac{\sqrt{3}}{2}$.

Answer to Problem 2AYU

Solution:

$\frac{\text{π}}{6}$

Explanation of Solution

Given:

If $\theta$ is an acute angle, solve the equation $\text{cos}\text{θ} = \frac{\sqrt{3}}{2}$.

Formula used:

$\text{Cos}$ inverse values or $\text{cosine}$ value tables.

Calculation:

$\text{cos}\text{θ} = \frac{\sqrt{3}}{2}$

Then $\text{θ} = \frac{\text{π}}{6}$