Reference Angles and Their Calculations

This video tutorial explains how to find reference angles in both radians and degrees. It covers the concept of reference angles, their properties, and provides formulas for calculating them in different quadrants. The video includes examples with angles such as 7 Pi over 6, 312 degrees, 25 Pi over 4, and 100 degrees, demonstrating how to determine the reference angle for each. The tutorial also highlights the importance of reference angles in understanding trigonometric functions.

What is the direction of a positive angle?

• Downwards

• Counterclockwise

• Upwards

• Clockwise

Where do you drop a perpendicular to find a reference angle?

• To the y-axis

• To the origin

• To the z-axis

• To the x-axis

What is the range of a reference angle in degrees?

• 0 to 90 degrees

• 0 to 360 degrees

• 0 to 180 degrees

• 0 to 45 degrees

How do you find the reference angle in the second quadrant?

• Theta

• 2 Pi minus Theta

• Pi minus Theta

• Theta minus Pi

What is the reference angle for 7 Pi over 6?

• Pi over 2

• Pi over 6

• Pi over 3

• Pi over 4

What is the reference angle for 312 degrees?

• 90 degrees

• 48 degrees

• 42 degrees

• 80 degrees

How many times does 4 go into 25 when finding the reference angle for 25 Pi over 4?

• 7 times

• 6 times

• 5 times

• 8 times

What is the reference angle for 100 degrees?

• 10 degrees

• 100 degrees

• 80 degrees

• 90 degrees

What is the reference angle for 25 Pi over 4?

• Pi over 3

• Pi over 2

• Pi over 4

• Pi over 6

What is the next step after finding the reference angle?

• Finding the terminal side

• Converting to degrees

• Drawing the angle

• Finding the values of trig functions