Trig Equation

Question

Solve the trig equation below. Make sure to give all possible answers. (Any and all angles are in degrees)

2cosα = √3

Answer 1

cosα = √3/2, The solution is the first quadrant is α=30°, in the 4th quadrant is α=330° (or equivalently α=-30°). Since the cosine function periodically repeats itself every 360°, all possible solutions are n*(360°)±30°, where n = 0, ±1, ±2,... (i.e. all possible integers).