New Zealand
Level 7 - NCEA Level 2

# Solve trigonometric equations with exact values

## Interactive practice questions

Find the measure in degrees of the acute angle satisfying $\sin\theta=\frac{1}{\sqrt{2}}$sinθ=12.

Easy
Approx a minute

Find the measure of the angle satisfying $\cos\theta=\frac{1}{\sqrt{2}}$cosθ=12 for $0^\circ<\theta<90^\circ$0°<θ<90°.

Find the measure in degrees of the acute angle satisfying $\tan\theta=\sqrt{3}$tanθ=3.

Find the measure in degrees of the acute angle satisfying $5\sqrt{2}\sin\theta-5=0$52sinθ5=0.

### Outcomes

#### M7-7

Form and use linear, quadratic, and simple trigonometric equations

#### 91261

Apply algebraic methods in solving problems