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 $\theta =60°$.

Function$f\left(\theta \right)$

Short answer

The value of$f\left(\theta \right)=\frac{\sqrt{3}}{2}$.

Step-by-step solution

Step 1. Given information.

Consider the given information that $f\left(\theta \right)=\sin \theta$and the value of$\theta =60°$.

. Finding fθ.

In trigonometric standard angles the value of $\sin 60°=\frac{\sqrt{3}}{2}$.

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

$$\begin{gathered} f\left(\theta \right)=\sin \theta \\ f\left(\theta \right)=\sin 60° \\ f\left(\theta \right)=\frac{\sqrt{3}}{2} \end{gathered}$$