Find two coterminal angles for a large positive angle

The video tutorial explains how to find the smallest positive and negative coterminal angles for a given angle of 779 degrees. It begins by discussing the concept of coterminal angles and the need to find angles within 360 degrees. The instructor demonstrates the process of subtracting full revolutions to find the smallest positive coterminal angle, resulting in 59 degrees. Then, the tutorial covers finding the smallest negative coterminal angle by subtracting revolutions in the negative direction, resulting in -301 degrees.

What is the purpose of finding coterminal angles?

• To determine the angle's quadrant

• To simplify the angle by removing extra revolutions

• To find the angle's sine value

• To convert the angle to radians

How do you find the smallest positive coterminal angle for 779 degrees?

• Add 180 degrees

• Subtract 360 degrees once

• Add 360 degrees twice

• Subtract 360 degrees twice

What is the smallest positive coterminal angle for 779 degrees?

• 301 degrees

• 179 degrees

• 101 degrees

• 59 degrees

In which direction do you move to find the smallest negative coterminal angle?

• Counterclockwise

• Upward

• Downward

• Clockwise

What is the smallest negative coterminal angle for 779 degrees?

• -179 degrees

• -101 degrees

• -301 degrees

• -59 degrees