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.
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