Respuesta :

54034

Reference angle is the angle that is formed by the the terminal side of teh angle and the horizontal line or the x-axis. The reference angles of the different quadrants can be determined using the formula correspondingly:

Quadrant 1: RF = actual angle

Quadrant 2: RF = actual angle - 90 = actual angle - pi/2

Quadrant 3: RF = actual angle - 180 = actual angle - pi

Quadrant 4 : RF = actual angle - 270 = actual angle - 3/4 pi

The first thing to do is to determine the quadrants of each angle and then apply the formula:

a. 19 pi /4 = 855 deg = 2nd Q = 135 + 45 = 180 (correct)

b. 15 pi/4 =  675 deg = 4th Q = 315 + 45 = 360 (correct)

c. 7 pi/4 = 315 deg = 4th Q = 315 + 45 = 360 (correct)

d. 12 pi/4 = 540 deg =  x axis = not correct

Answers are A, B and C.

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