Polar Coordinates and Angle Conversions

This video tutorial explains how to identify points using polar coordinates, which consist of an ordered pair (R, theta). It covers how to determine the coordinates when R is positive and when R is negative, including how to find the least positive and negative angles for theta. The tutorial also discusses co-terminal angles and how to express angles in both degrees and radians.

What is the first coordinate in a polar coordinate system?

• Y

• X

• Theta

• R

If R is positive, what is the least positive angle for a point located at 5 units from the pole?

• 270 degrees

• 90 degrees

• 180 degrees

• 225 degrees

How many radians is equivalent to 45 degrees?

• PI/6

• PI/4

• PI/3

• PI/2

What is the negative angle in degrees for a point with R positive and located at 5 units from the pole?

• -225 degrees

• -135 degrees

• -180 degrees

• -90 degrees

Which of the following is a co-terminal angle to 225 degrees?

• 45 degrees

• 585 degrees

• 135 degrees

• 315 degrees

What is the equivalent of 225 degrees in radians?

• 3PI/4

• 7PI/4

• 5PI/4

• 9PI/4

When R is negative, in which direction does the terminal side of Theta point?

• Perpendicular direction

• Parallel direction

• Opposite direction

• Same direction

What is the least positive angle in degrees when R is negative?

• 90 degrees

• 45 degrees

• 135 degrees

• 180 degrees

How many radians is equivalent to -315 degrees?

• -8PI/4

• -6PI/4

• -7PI/4

• -5PI/4

What is the negative angle in radians for a point with R negative?

• -7PI/4

• -5PI/4

• -3PI/4

• -1PI/4