Question

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

Answer 1

`(\pi )/(2)`

Explanation:

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

Since the angle given is:

`(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= (3\pi )/(2)-\pi\\= (3\pi -2\pi )/(2)\\=(\pi )/(2)`

So the reference angle for
`(3\pi )/(2)` is
`(\pi )/(2)` ..