Graphing a Negative Angle in Terms of PI in Standard Position

The video tutorial explains the concept of angle directions, where counterclockwise is positive and clockwise is negative. It breaks down the circle into fractions to understand angle measurements, specifically focusing on the angle -7π/4. The tutorial further discusses equivalent fractions of 2π, using 8π/4 as an example, and calculates how much the angle -7π/4 is short of a full circle, emphasizing the negative direction of the angle.

What is the direction of a positive angle?

• Clockwise

• Counterclockwise

• Upwards

• Downwards

How is 7π/4 related to the full circle measurement?

• It is half of a full circle

• It is a quarter of a full circle

• It is 1/8th of a full circle

• It is 1/4th short of a full circle

What is the equivalent of 2π with a denominator of 4?

• 10π/4

• 6π/4

• 8π/4

• 4π/4

If an angle is negative, in which direction is it measured?

• Clockwise

• Counterclockwise

• Upwards

• Downwards

What are the terminal and initial sides of an angle?

• The radius and diameter of a circle

• The horizontal and vertical axes

• The start and end points of an angle

• The sides of a triangle