suppose 0=pi/2 . which of the following is not an equivalent coterminal angle measure ?

Question

1) -7pi/2

2) 3pi/2

3) -3pi/2

4) 5pi/2

Answer 1

0 = pi/2? Do you mean theta = pi/2?

Since 2pi = 4pi/2 is a complete circle, add or subtract multiples of 4pi/2 to each value until you get a value between 0 and 2pi.

1) -7pi/2 + 8pi/2 = pi/2 coterminal

2) 3pi/2 + 0 = 3pi/2 not coterminal

3) -3pi/2 + 4pi/2 = pi/2 coterminal

4) 5pi/2 - 4pi/2 = pi/2 coterminal

Answer 2