Q1. Plot the point with polar coordinates .

Background

Topic: Polar Coordinates

This question tests your understanding of how to plot points given in polar form, where each point is described by a radius and an angle .

Key Terms and Formulas:

• Polar Coordinates: , where is the distance from the origin and is the angle measured from the positive x-axis.

• Negative Radius: If is negative, plot the point in the direction opposite to .

Step-by-Step Guidance

1. Identify the radius and the angle .

2. Locate the angle on the polar grid (this is in the second quadrant).

3. Since the radius is negative, move 1 unit in the direction opposite to (i.e., add to the angle).

4. Mark the point at this location on the polar grid.

Try solving on your own before revealing the answer!

Q2. Plot the point with polar coordinates .

Background

Topic: Polar Coordinates

This question tests your ability to plot points with both negative radius and negative angle values.

Key Terms and Formulas:

• Negative Angle: A negative angle is measured clockwise from the positive x-axis.

• Negative Radius: Plot in the direction opposite to the angle.

Step-by-Step Guidance

1. Identify and .

2. Find on the polar grid (clockwise from the positive x-axis).

3. Since is negative, plot the point 4 units in the direction opposite to (add to the angle).

4. Mark the point at this location.

Try solving on your own before revealing the answer!

Q3. Plot the point with polar coordinates .

Background

Topic: Polar Coordinates

This question tests your understanding of plotting points with negative radius and negative angle values.

Key Terms and Formulas:

• Polar Coordinates:

• Negative Radius: Plot in the direction opposite to the angle.

Step-by-Step Guidance

1. Identify and .

2. Locate on the polar grid (clockwise from the positive x-axis).

3. Since is negative, plot the point 2 units in the direction opposite to (add to the angle).

4. Mark the point at this location.

Try solving on your own before revealing the answer!

Q4. Plot the point with polar coordinates .

Background

Topic: Polar Coordinates

This question tests your ability to plot points with negative radius and negative angle values.

Key Terms and Formulas:

• Polar Coordinates:

• Negative Radius: Plot in the direction opposite to the angle.

Step-by-Step Guidance

1. Identify and .

2. Locate on the polar grid (clockwise from the positive x-axis).

3. Since is negative, plot the point 1 unit in the direction opposite to (add to the angle).

4. Mark the point at this location.

Try solving on your own before revealing the answer!