Question

Trigonometric Equations

Solve the equation over the interval [0°, 360°)

cos(theta) = -1/2

Answer 1

`(2\pi )/(3);(4\pi )/(3).`

Explanation:

1) cos(θ)=-0.5;

theta=±2π/3+2πn, where n∈Z;

2) if θ∈[0;360], then

`\theta=(2\pi )/(3); (4\pi )/(3).`