NZ Level 7 (NZC) Level 2 (NCEA)
Trigonometric Ratios with Exact Values

## Interactive practice questions

Given that $\sin\theta=\frac{1}{2}$sinθ=12, we want to find the value of $\cos\theta$cosθ.

a

First, find the value of $\theta$θ.

b

Hence, find the exact value of $\cos30^\circ$cos30°.

Easy
Approx 2 minutes

Given that $\sin\theta=\frac{1}{2}$sinθ=12, we wish to find $\tan\theta$tanθ.

Given that $\cos\theta=\frac{\sqrt{3}}{2}$cosθ=32, we want to find the value of $\sin\theta$sinθ.

Given that $\cos\theta=\frac{1}{2}$cosθ=12.

### Outcomes

#### M7-4

Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions

#### 91259

Apply trigonometric relationships in solving problems