How to find coterminal angles using drawings

The video tutorial explains how to find coterminal angles, which are angles sharing the same initial and terminal sides. It covers the basic definition, methods to calculate coterminal angles, and explores alternative approaches. The tutorial also discusses constraints and special cases, such as angles between 0 and 360 degrees, and concludes with a summary of key points.

What is the defining characteristic of coterminal angles?

• They have different initial sides.

• They have the same initial and terminal sides.

• They are always positive.

• They are always negative.

If an angle is 45 degrees, what is a coterminal angle in the negative direction?

• -45 degrees

• -315 degrees

• 315 degrees

• 405 degrees

How do you find a coterminal angle by moving in the positive direction?

• Multiply the angle by 2.

• Add 360 degrees to the angle.

• Divide the angle by 2.

• Subtract 360 degrees from the angle.

What constraint is often applied to coterminal angle problems?

• Angles must be between 0 and 360 degrees.

• Angles must be negative.

• Angles must be multiples of 90 degrees.

• Angles must be positive.

If an angle is -36 degrees, what is a coterminal angle in the positive direction?

• 324 degrees

• -324 degrees

• 36 degrees

• -36 degrees