# 7.01 Exact ratios and the unit circle

## Interactive practice questions

Use the exact value triangles in the diagram below to answer the following:

a

What is the exact value of $\sin30^\circ$sin30°?

b

What is the exact value of $\sin60^\circ$sin60°?

c

What is the exact value of $\sin45^\circ$sin45°?

Easy
Approx 2 minutes

Use the exact value triangles in the diagram below to answer the following:

Use the exact value triangles in the diagram below to answer the following:

$\theta$θ is an angle in a right-angled triangle where $\sin\theta=\frac{\sqrt{3}}{2}$sinθ=32.

Solve for the exact value of $\theta$θ.

### Outcomes

#### VCMMG368 (10a)

Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies.