CPM Homework Help : A2C Problem 13-119

Solve $\frac { 2 + \operatorname { sin } ^ { 2 } \theta } { 3 } = \frac { 3 } { 4 }$ in the domain $0 ≤ θ < 2π$ . Show your solutions on a unit circle.

Hint:

Solve the equation for $\sin(θ)$ .

Answer:

$\frac{\pi}{6}, \frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}$

Circle, centered at the origin, with 2 additional, slanted, dashed diameters, with end points in each of the 4 quadrants.