Trigonometry equations

Question

Solve 6sin^2 theta +7cos theta -8 =0 for 0 degrees smaller than or equal to theta smaller than or equal to 360

Answer 1

6sin^2 theta +7cos theta -8 =0

6Sin²θ + 7Cosθ - 8 = 0

You can substitute 1-Cos²θ for Sin²θ and get 6Cos²θ -7Cosθ +2 = 0

I graphed a solution and θ = 60° or 311.81°