New Zealand
Level 8 - NCEA Level 3

# Solve trigonometric equations with exact values

## Interactive practice questions

Find the measure in radians of the angle satisfying $\cos\theta=\frac{\sqrt{3}}{2}$cosθ=32 for $0<\theta<\frac{\pi}{2}$0<θ<π2.

Easy
Approx 2 minutes

Find the measure in radians of the acute angle satisfying $10\sin\theta-5=0$10sinθ5=0.

Find the measure in radians of the acute angle satisfying $\tan\theta=\frac{2}{\sqrt{3}}-\tan\theta$tanθ=23tanθ.

Consider the equation $\sin\theta=-\frac{1}{2}$sinθ=12 for $0<\theta<\frac{\pi}{2}$0<θ<π2.

### Outcomes

#### M8-7

Form and use trigonometric, polynomial, and other non-linear equations

#### 91575

Apply trigonometric methods in solving problems