Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answers as a comma-separated list.) (a) π 6 (b) − 5π 6

Question

Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answers as a comma-separated list.)

(a)

π

6

 

(b)

− 5π

6

 

Answer 1

To find coterminal angles, you have to either add or subtract 2π. In this case, you would use 12π/6 so there is a common denominator.

π/6+12π/6 = 13π/6

π/6-12π/6 = -11π/6

-5π/6+12π/6 = 7π/6

-5π/6-12π/6 = -13π/6