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Q48.

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Found in: Page 768

### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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

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

See the step by step solution

## Step 1. Write down the given equation.

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

## Step 2. Simplify the given function.

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

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

## Step 3. Conclusion.

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