### Home > INT3 > Chapter 9 > Lesson 9.1.6 > Problem 9-78

Calculate the exact values of the angles that are solutions to the equation

Draw a unit circle and a triangle with the opposite side of

Since the short leg is half the hypotenuse, this is a .

Reflect the triangle across the -axis. If

Notice that

*as well.*

Convert both angles to radians. Recall that radians. What fraction of

Every time you go around the circle, you will come back to these points, so there are an infinite number of solutions to this equation.

A new solution occurs every

Use the eTool below to view the solution as a graph.

Click the link at right for the full version of the eTool: *INT3 9-78 HW eTool*