How to graph a polar point and then convert to rectangular form

The video tutorial explains the use of polar paper, a tool with an XY axis and rings, to avoid errors in drawing circles. It covers finding angles and coordinate points, converting polar coordinates to rectangular form using given equations, and understanding reference angles and quadrants. The instructor emphasizes the importance of recognizing the quadrant to determine the sign of coordinates.

What is the purpose of using polar paper in plotting polar coordinates?

• To measure angles more precisely

• To make the graph colorful

• To simplify the conversion to rectangular form

• To avoid drawing inaccurate circles

How is the angle -3π/4 located on the polar coordinate system?

• By moving clockwise from the negative x-axis

• By moving counterclockwise from the positive x-axis

• By moving clockwise from the positive x-axis

• By moving counterclockwise from the negative x-axis

Which equation is used to convert the polar coordinate to the x-coordinate in rectangular form?

• x = r * tan(Theta)

• x = r * cos(Theta)

• x = r * cot(Theta)

• x = r * sin(Theta)

What is the reference angle for -3π/4?

• π/2

• π/3

• π/4

• π/6

In which quadrant are both x and y coordinates negative?

• Fourth quadrant

• Third quadrant

• Second quadrant

• First quadrant