Question

Pie over 3 is the reference angle for

Answer 1

Answer:    $\frac{\pi }{3}$

Step-by-step explanation:

Let's find out for which angle   could  $\frac{\pi }{3}$  be the Reference angle.

For this exercise it is important to remember the definition of "Reference angle".

A "Reference angle is defined" as the smallest angle that is measure between the terminal side of an angle and the x-axis.

In this case, you have the following Reference angle provided in the exercise:

$\frac{\pi }{3}$

It is important to know that:

1. If the angle $\beta$ is in the First Quadrant, then the reference angle and $\beta$ are equal

2.  If the angle $\beta$ is in the Second Quadrant, then the reference angle is:

$\pi -\beta$

3. If the angle $\beta$ is in the Third Quadrant, then the reference angle is:

$\beta -\pi$

4.  If the angle $\beta$ is in the Fourth Quadrant, then the reference angle is:

$2\pi -\beta$

By definition, the angle  $\frac{\pi }{3}$ is in the First Quadrant, therefore, you can say  that  

   $\frac{\pi }{3}$