Question

The measure of angle theta is 3 pi over 2. The measure of its reference angle is pi /

Answer 1

Answer:

$\frac{\pi }{2}$

Step-by-step explanation:

In order to find the reference angle of a given angle, we have to determine its quadrant.

Since the angle given is:

$\frac{3\pi }{2}$

The angle lies in third quadrant.

If the angle lies in the third quadrant, $\pi$ is subtracted from the given angle:

So,

$Reference\ Agnle= \frac{3\pi }{2}-\pi\\= \frac{3\pi -2\pi }{2}\\=\frac{\pi }{2}$

So the reference angle for $\frac{3\pi }{2}$ is $\frac{\pi }{2}$ ..