Find the radian measure of the smallest positive angle that is coterminal with the angle having the given radian measure and draw a sketch showing both angles.

Question

1) -3/4π

2) 7/2π

3) 7.28

4) -4.25

5) 10

Answer 1

To find coterminal angle, either add or subtract 2π (or 360 degrees) In this case, since they are asking for a positive coterminal angle, we would add 2π. I am going to assume the π is in the numerator?

1) -3π/4 +2π Get a common denominator

-3π/4 +8π/4 = 5π/4

For the drawing, -3π/4 is in the third quadrant with a reference angle of π/4. The coterminal angle is the same.

The remainder of these problems can be solved the same way. For the decimals, add 6.28