# Lesson Worksheet: Polar Coordinates Mathematics

In this worksheet, we will practice plotting points in polar coordinates and graphing polar equations.

**Q1: **

Identify which of the points plotted on the graph has polar coordinates .

- A
- B
- C
- D
- E

**Q2: **

Which of the ordered pairs
, ,
, and
does **not** describe the position of Point in the diagram?

- A
- B
- C
- D

**Q3: **

Which of the ordered pairs
,
,
,
and
does **not** describe the position of Point in the diagram?

- A
- B
- C
- D

**Q4: **

Consider the points plotted on the graph.

Write down the polar coordinates of , giving the angle in the range .

- A
- B
- C
- D
- E

**Q5: **

Given that point can be expressed in polar form as , which of the following is an equivalent expression for point in polar form?

- A
- B
- C
- D
- E

**Q6: **

Find the distance between the points with the polar coordinates and . Round your answer to two decimal places.

**Q7: **

True or False: In the polar coordinate system, each point has only one representation like in the Cartesian coordinate system.

- AFalse
- BTrue

**Q8: **

True or False: The distance between the points with the polar coordinates and is 1.02, rounding to two decimal places.

- ATrue
- BFalse

**Q9: **

True or False: The representation of the point is the same as .

- ATrue
- BFalse

**Q10: **

Consider the polar coordinates and , as shown in the figure.

Find the angle between the two lines.

- A
- B
- C

Use the law of cosines to find the length of . Give your answer accurate to two decimal places.