Trigonometry

Solutions

Problem Set #4

1. Convert each degree measure into radians. If convenient, leave your answer in terms of π.

a) 30° = π/6

b) 55° = π/6

c) 720° = 2π

d) 270° = 3 π/2

e) 225° =3 π/4

2. Convert each radian measure into degrees

a) 5 π/6 = 150°

b) 6π = 1080°

c) π/10 = 18°

d) 9π/2 = 810°

e) 1 radian = 180/ π° = 57.2958°

3. list 5 different values of θ for which each equation is true:

a) cos(θ) = 0 π/2, 3π/2, 5π/2, 7π/2, 9π/2 (odd multiples of π/2)

b) sin(θ) = -1 3π/2, 7π/2, 11π/2, 15π/2, 19π/2

c) tan(θ) = 1 π/4 , 5π/4, 9π/4, 13π/4, 17π/4