Q48. - Algebra 2

Question

Find the exact value of the function $\sin \left(390°\right)$.

Step-by-Step Solution

Answer

The exact value of given function is $\frac{1}{2}$.

Step 1. Write down the given equation.

The given function is $\sin \left(390°\right)$.

Step 2. Simplify the given function.

The value of trigonometric function $\sin \left(390°\right)$ is evaluated as:

$\begin{array}{c}\sin \left(390°\right)=\sin \left(360°+30°\right)\\ =\sin \left(30°\right)\\ =\frac{1}{2}\end{array}$

Step 3. Conclusion.

The exact value of given function is $\frac{1}{2}$.