New Zealand
Level 8 - NCEA Level 3

# Complementary results

## Interactive practice questions

Consider the following image to investigate the trigonometric ratios $\sin\theta$sinθ and $\cos\left(90^\circ-\theta\right)$cos(90°θ)

a

$\sin\theta$sinθ = $\editable{}$

$\cos\left(90^\circ-\theta\right)$cos(90°θ) = $\editable{}$

b

Does $\sin\theta=\cos\left(90^\circ-\theta\right)$sinθ=cos(90°θ) for all values of $\theta$θ less than 90°?

Yes

A

No

B

Yes

A

No

B
Easy
Approx 2 minutes

Consider the following image to investigate the trigonometric ratios $\cos\theta$cosθ and $\sin\left(90^\circ-\theta\right)$sin(90°θ)

Fill in the blank with the acute angle that makes the statement true.

Complete the blank in the following expression:

### Outcomes

#### M8-6

Manipulate trigonometric expressions

#### 91575

Apply trigonometric methods in solving problems