New Zealand
Level 7 - NCEA Level 2

# Solve trigonometric equations in first quadrant

## Interactive practice questions

Find the measure in degrees of the acute angle satisfying $\sin\theta=0.4986$sinθ=0.4986. Give your answer correct to two decimal places.

Easy
Approx a minute

Find the measure in degrees of the angle satisfying $\cos\theta=0.1567$cosθ=0.1567 for $0^\circ<\theta<90^\circ$0°<θ<90°. Give your answer correct to two decimal places.

Find the measure in degrees of the acute angle satisfying $\tan\theta=3.8547$tanθ=3.8547. Give your answer correct to two decimal places.

Find the measure of the acute angle satisfying $5\sin\theta+1=9\sin\theta$5sinθ+1=9sinθ. Give your answer correct to the nearest degree.

### Outcomes

#### M7-7

Form and use linear, quadratic, and simple trigonometric equations

#### 91261

Apply algebraic methods in solving problems