Find two angles one with positive measure and one with negat

Find two angles, one with positive measure and one with negative measure, coterminal with the given angle. a. 11 pi/3 b. -17 pi/4 c. -17 pi/12 d. 16 pi/3

Solution

a. 11pi/3

Positive coterminal 11pi/3 -2pi=5pi/3

Negative coterminal 11pi/3 -4pi= -pi/3

b . -17pi/4

Positive coterminal -17pi/4 +6pi=7pi/4

Negative coterminal -17pi/4 +4pi=-pi/4

c. -17pi/12

Positive coterminal -17pi/12+2pi=7pi/12

Negative coterminal -17pi/12 -2pi=-41pi/12

d. 16pi/3

Positive coterminal 16pi/3-4pi =4pi/3

Negative coterminal 16pi/3 -6pi=-2pi/3