Find all degree solutions in the interval 0° ≤ θ < 360°.

Question

Find all degree solutions in the interval 0° ≤ θ < 360°. If rounding is necessary, round to the nearest tenth of a degree. Use your graphing calculator to verify the solution graphically. (Enter your answers as a comma-separated list.)

6 sin² θ − 5 cos 2θ = 0

 

Answer 1

cos 2θ = 1 - sin² θ

6 sin² θ - 5 cos 2θ = 0

6 sin² θ - 5(1 - sin² θ) = 0

6 sin² θ - 5 + 5 sin² θ = 0

11 sin² θ = 5

Can you continue and solve for θ?