New Zealand
Level 8 - NCEA Level 3

# Convert between Polar and Rectangular Equations

Lesson

#### Worked Examples

##### Question 1

Convert the rectangular equation $5x-4y=3$5x4y=3 into a polar equation.

##### Question 2

Convert the polar equation $r=\frac{8}{1+\sin\theta}$r=81+sinθ into a rectangular equation.

##### Question 3

Convert the rectangular equation $x^2+y^2=64$x2+y2=64 into a polar equation.

### Outcomes

#### M8-9

Manipulate complex numbers and present them graphically

#### 91577

Apply the algebra of complex numbers in solving problems