Complex Numbers

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

Graph Polar Equations

Lesson

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

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

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

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

Convert the point $\left(9,5\right)$(9,5) from rectangular coordinates to polar coordinates $\left(r,\theta\right)$(`r`,`θ`), where $0\le\theta<2\pi$0≤`θ`<2π. Give each value correct to two decimal places.

Convert the point $\left(4,\left(-46\right)^\circ\right)$(4,(−46)°) from polar coordinates to rectangular coordinates $\left(x,y\right)$(`x`,`y`). Give each value correct to two decimal places.

Manipulate complex numbers and present them graphically

Apply the algebra of complex numbers in solving problems