Q49. - Algebra 2

Question

Find the exact value of the function $\sin \left(-315°\right)$.

Step-by-Step Solution

Answer

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

Step 1. Write down the given equation.

The given function is $\sin \left(-315°\right)$.

Step 2. Simplify the given function.

The value of trigonometric function $\sin \left(-315°\right)$ is evaluated as:

$\begin{array}{c}\sin \left(-315°\right)=-\sin \left(315°\right)\\ =-\sin \left(360°-45°\right)\\ =-\left(-\sin \left(45°\right)\right)\\ =\frac{1}{\sqrt{2}}\end{array}$

Step 3. Conclusion.

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