Use substitution to determine whether the given x-value is a solution of the equation.
Find All Solutions of a Trigonometric Equation
-$$\sin x = - \frac { \sqrt { 3 } } { 2 } , \quad x = \frac { - 2 \pi } { 3 }$$
A) Yes
B) No

Question

Quizplus · Accepted Answer

The value $x = \frac{-2\pi}{3}$ is a solution because when substituted into the equation $\sin x = -\frac{\sqrt{3}}{2}$, it yields a true statement, as $\sin\left(\frac{-2\pi}{3}\right) = -\frac{\sqrt{3}}{2}$.

Use Substitution to Determine Whether the Given X-Value Is a Solution