TRIGONMETRIC EQUATION

Question

Solve each trigonometric equation for all angles between [0°, 360°). Round answers to the nearest hundredths place if necessary.

1) 2 sin θ = -1

2) 5 tan θ = 4

3) 5 cos θ = -3

4) 2 cos^2 θ = 1

Answer 1

1) sinx = -1/2, x=330 degrees or 210 degrees

2) 5tanx = 4, tanx = 4/5 x= 38.66 degrees or 180+38.66 = 218.66 degrees

3) cosx =-3/5 x = 180-53.13 = 126.87 degrees or 180+53.13 = 233.13 degrees

4) cos^2x = 1/2, cosx = sqr(1/2) = 1/sqr2 = about 0.707, x = 45 degrees or 360-45 = 315 degrees