Solving Trig Equations by Factoring, Quadratics and Identities Worksheet with Answer Key

What's on the worksheet

1. Solve each equation on [0, 2π) by getting 0 on one side and factoring.
   4\sin^3 x = 3\sin x\tan x\sin x - \sin x + \tan x - 1 = 0
2. Each equation is quadratic in one trig function.
   \tan^2 x + (1 - \sqrt{3})\tan x - \sqrt{3} = 0\sec^2 x - \sec x - 2 = 0
3. Use a Pythagorean identity to write each equation in one function, then solve it on [0, 2π).
   \tan^2 x = 3\sec x - 3\cot^2 x + \csc x = 14\sin^2 x + 4\cos x = 5
4. Solve 2² x + 5 x + 2 = 0 on [0, 2π).
5. Solve 4x + 3 2x + 2 = 0 on [0, 2π).
7. Solve 2 x - x = 2 on [0, 2π) by getting x alone and squaring both sides.