Determine the smallest positive and negative coterminal angles in degrees

The video tutorial explains coterminal angles, focusing on how to find them using both positive and negative rotations. It covers the concept of initial and terminal sides, the Cartesian coordinate system, and the significance of 360-degree rotations. The tutorial provides methods to calculate the smallest positive and negative coterminal angles by adding or subtracting 360 degrees. It also discusses general rules for finding coterminal angles when dealing with angles larger than 360 degrees or 2π.

What is a coterminal angle?

• An angle that is always 180 degrees

• An angle that is always 90 degrees

• An angle that shares the same initial and terminal sides

• An angle that is always 360 degrees

How do you find the smallest positive coterminal angle for a given angle?

• Subtract 360 degrees from the angle

• Add 360 degrees to the angle

• Add 90 degrees to the angle

• Subtract 180 degrees from the angle

What is the smallest negative coterminal angle for 15 degrees?

• 15 degrees

• -345 degrees

• -15 degrees

• 345 degrees

What should you do if an angle is larger than 360 degrees to find its coterminal angle?

• Subtract 180 degrees

• Add 360 degrees

• Subtract 360 degrees

• Add 180 degrees

If an angle is larger than 2π, what is a possible method to find a coterminal angle?

• Add 360 degrees

• Add or subtract 2π multiple times

• Subtract 2π once

• Add 2π once