Find an angle between 0 and 2𝜋 that is coterminal with the given angle.

Question

1. 13pi/6
2. -4pi/3

Answer 1

1 pi/6

13pi/6 = 12pi/6 = pi/6

2 2pi/3

2pi-4pi/3 = 6pi/3 -4pi/3 = 2pi/3

Answer 2

1. θ = 13pi/6, θ' = 13π/6 - 2π = π/6θ
2. θ = - 4π/3; θ' = - 4π/3 + 2π = 2π/3