Determine a pair of coterminal angles in radian measure to the angle pi over 2

all we have to do is add multiples of 2pi

1. pi/2 + 2pi = 5pi/2

2. pi/2 + 8pi = 17pi/2

To find a pair of coterminal angles in radian measure to the angle π/2, we need to add or subtract multiples of 2π (one full revolution) to the given angle until we obtain different angles.

Starting with the angle π/2, we can add or subtract multiples of 2π to find the coterminal angles.

To find the positive coterminal angle, we add 2π to π/2:

π/2 + 2π = 5π/2

So, one positive coterminal angle to π/2 is 5π/2.

To find the negative coterminal angle, we subtract 2π from π/2:

π/2 - 2π = -3π/2

So, one negative coterminal angle to π/2 is -3π/2.

Therefore, the pair of coterminal angles (in radian measure) to the angle π/2 is 5π/2 and -3π/2.