NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Polar Form

## Interactive practice questions

Consider the points on the following polar graphs.

a

Write down the missing coordinates in the graph below. Give your answer in terms of $r$r and $\theta$θ.

b

Write down the coordinates of $A$A in the graph below. Give your answer in terms of $r$r and $\theta$θ.

c

Write down the coordinates of $A$A in the graph below. Give your answer in terms of $r$r and $\theta$θ.

Easy
Approx 3 minutes

Consider the polar equation $r=2\cos\theta$r=2cosθ.

What is the value of $r$r if $\theta=30^\circ$θ=30°?

Consider the polar equation $r=2\sin2\theta$r=2sin2θ.

What is the value of $r$r if $\theta=30^\circ$θ=30°?

### Outcomes

#### M8-9

Manipulate complex numbers and present them graphically

#### 91577

Apply the algebra of complex numbers in solving problems