Coterminal Angles and Reference Angles

The video tutorial explains how to handle negative angles and find reference angles. It starts by discussing the concept of negative angles and how to sketch them. The tutorial then moves on to finding the smallest positive coterminal angle by adding 360 degrees repeatedly. Finally, it demonstrates how to calculate reference angles using these coterminal angles, emphasizing the importance of using the smallest positive coterminal angle. The session concludes with a Q&A, addressing common mistakes students make.

What is the initial step in determining a reference angle?

• Sketch the angle

• Subtract 180 degrees from the angle

• Multiply the angle by 2

• Add 360 degrees to the angle

In which direction do negative angles move?

• Upwards

• Clockwise

• Counterclockwise

• Downwards

What is the degree measure of a full circle in the negative direction?

• -180 degrees

• -360 degrees

• -90 degrees

• -270 degrees

How many additional negative degrees are needed to reach -480 degrees from -360 degrees?

• -90 degrees

• -60 degrees

• -180 degrees

• -120 degrees

What is a coterminal angle?

• An angle that is twice the original angle

• An angle that is always negative

• An angle that shares the same terminal side

• An angle that is always positive

How do you find a positive coterminal angle?

• Subtract 180 degrees

• Multiply by 2

• Add 360 degrees

• Divide by 2

What is the smallest positive coterminal angle for -120 degrees?

• 60 degrees

• 120 degrees

• 240 degrees

• 300 degrees

What should you do if adding 360 degrees still results in a negative angle?

• Multiply by 2

• Subtract 360 degrees

• Divide by 2

• Add 360 degrees again

What is the first step in finding a coterminal angle?

• Add 360 degrees

• Subtract 180 degrees

• Divide by 2

• Multiply by 2

How do you calculate the reference angle from a coterminal angle in the third quadrant?

• Add 180 degrees

• Subtract 180 degrees

• Subtract 90 degrees

• Add 90 degrees