Chapter 12, Problem 8CR

To determine

Find the exact value of trigonometric function $\sin 300°$ .

Answer to Problem 8CR

The value of $\sin 300°$ is $-\frac{\sqrt{3}}{2}$ , so option (c) is correct.

Explanation of Solution

Given information: The given trigonometric function is,

  $\sin 300°\mathrm{....}\left(1\right)$

Calculation: From (1) the value of trigonometric function is evaluated as,

  $\begin{array}{c}\sin 300°=\sin \left(360°-60°\right)\mathrm{....}\left(\text{From }\left(1\right)\right)\\ =-\sin \left(60°\right)\\ =-\frac{\sqrt{3}}{2}\end{array}$

Hence the value of $\sin 300°$ is $-\frac{\sqrt{3}}{2}$ , so option (c) is correct.