Q 104. - 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 $2g\left(\theta \right)$.

Step-by-Step Solution

Answer

The value of the function $2g\left(\theta \right)$ is $1$.

Step 1. Given information.

Consider the given information $2g\left(\theta \right)$ where $g\left(\theta \right)=\cos \theta$and the value of $\theta =60°$.

Step 2. Finding 2 g θ .

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

Substitute the value in function $2g\left(\theta \right)$.

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