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

## Interactive practice questions

Consider the point $\left(8,\frac{11\pi}{6}\right)$(8,11π6), in polar coordinates.

a

This point is $\editable{}$ units away from the pole on a polar grid.

b

What is the size of the angle that the point makes with the polar axis? Give your answer in radians.

c

Which of the following shows the location of $\left(8,\frac{11\pi}{6}\right)$(8,11π6) on a polar grid? Easy
Approx a minute

Consider the point $\left(8,\left(-30\right)^\circ\right)$(8,(30)°), in polar coordinates.

Consider the points that have been graphed on the polar grid below.

Convert the point $\left(8,9\right)$(8,9) from rectangular coordinates to polar coordinates $\left(r,\theta\right)$(r,θ), where $0^\circ\le\theta<360^\circ$0°θ<360°. Give each value correct to two decimal places.

### Outcomes

#### M8-9

Manipulate complex numbers and present them graphically

#### 91577

Apply the algebra of complex numbers in solving problems