Chapter 6.2, Problem 99AYU

To determine

To find: The value of ${\left[f\left(\theta \right)\right]}^2$ .

Answer to Problem 99AYU

Solution:

  ${\left[f\left(\theta \right)\right]}^2=\frac{3}{4}$

Explanation of Solution

Given:

  $f\left(\theta \right)=\sin \theta , g\left(\theta \right)=\cos \theta \text{and} \theta =60°$ .

Calculation:

  ${\left[f\left(\theta \right)\right]}^2={\left[\sin \theta \right]}^2={\left[\sin 60°\right]}^2={\left[\frac{\sqrt{3}}{2}\right]}^2=\frac{3}{4}$