Question

Find the reference angle, a, of the following angles. State the Quadrant that the reference angle is in.

a) 115 degrees
b) 12pi/5
c) -145 degrees

PLS HELP!! URGENT

Answer 1

The reference angles and quadrants for the given angles are as follows: a) 115 degrees has a reference angle of 30.1 degrees in Quadrant II, b) 12pi/5 has a reference angle of 48.7 degrees in Quadrant I, and c) -145 degrees has a reference angle of 35 degrees in Quadrant II.

Step-by-step explanation:

To find the reference angle, we need to determine the acute angle formed between the terminal side of the given angle and the x-axis. Here are the reference angles for each angle:

a) 115 degrees - The reference angle is 30.1 degrees, and it is in Quadrant II.

b) 12pi/5 - The reference angle is 48.7 degrees, and it is in Quadrant I.

c) -145 degrees - The reference angle is 35 degrees, and it is in Quadrant II.