Q 96. - Precalculus Enhanced with Graphing Utilities

Question

If $f\left(\theta \right)=\sin \theta$ and $g\left(\theta \right)=\cos \theta$. Find the exact value of the function given below if $\theta =60°$. Do not use a calculator.

Function is  $g\left(\theta \right)$.

Step-by-Step Solution

Answer

The value of $g\left(\theta \right)=\frac{1}{2}$.

Step 1. Given information.

Consider the given function $g\left(\theta \right)=\cos \theta$and the value of $\theta =60°$.

Step 2. Finding g θ .

In trigonometric standard angles the value of  $\cos 60°=\frac{1}{2}$.

Substitute the value in function $g\left(\theta \right)$.

$$\begin{gathered} g\left(\theta \right)=\cos 60° \\ g\left(\theta \right)=\frac{1}{2} \end{gathered}$$