Linear Trigonometric Equations

5. Inverse Trigonometric Functions and Basic Trigonometric Equations / Linear Trigonometric Equations / Problem 4

For the following trigonometric equation, solve in the interval [0, 2π] and give the answer in exact radian measure.
(cos x - 1)(tan x + √3) = 0

x = {0, 2π/3, 5π/3, 2π}

x = {0, π/2, 5π/6, 3π/2}

x = {0, 5π/6, 2π}

No solution

For the following trigonometric equation, solve in the interval [0, 2π] and give the answer in exact radian measure.(cos x - 1)(tan x + √3) = 0