Pre-calc Question

Question

Find the smallest negative angle coterminal with 2π/3 and use radian measure

a. -π/3

b. -2π/3

c. -3π/2

d. -4π/3

Answer 1

Find the smallest negative angle coterminal with 2π/3.

2π/3 is in the 2nd Quadrant and is π/3 from half way around the Unit Circle in a counterclockwise direction.

So the negative radian measure has to be -π + (-π/3) which = -4π/3