Coterminal Angles and Their Properties

The video tutorial explains how to determine positive and negative coterminal angles for a given angle, specifically 68 degrees. It begins by sketching 68 degrees in standard position and then demonstrates how to find a positive coterminal angle by adding 360 degrees, resulting in 428 degrees. It also shows how to find a negative coterminal angle by subtracting from 360 degrees, resulting in -292 degrees. The tutorial concludes with a general formula for finding coterminal angles by adding or subtracting multiples of 360 degrees.

What is the definition of coterminal angles?

• Angles that are both positive.

• Angles that share the same terminal side.

• Angles that are both negative.

• Angles that have the same initial side.

How do you find a positive coterminal angle to 68 degrees?

• Add 68 degrees to 180 degrees.

• Add 360 degrees to 68 degrees.

• Subtract 68 degrees from 360 degrees.

• Subtract 360 degrees from 68 degrees.

What is the positive coterminal angle to 68 degrees?

• 428 degrees

• 292 degrees

• 68 degrees

• 360 degrees

How do you find a negative coterminal angle to 68 degrees?

• Rotate 68 degrees clockwise.

• Rotate 360 degrees clockwise.

• Rotate 292 degrees clockwise.

• Rotate 292 degrees counterclockwise.

What is the negative coterminal angle to 68 degrees?

• -428 degrees

• -292 degrees

• -360 degrees

• -68 degrees

What is the general formula for finding coterminal angles?

• Angle ± 45 degrees

• Angle ± 180 degrees

• Angle ± 90 degrees

• Angle ± 360 degrees

What does the variable K represent in the coterminal angle formula?

• A fraction

• An integer

• A decimal

• A negative number

If K = 1, what is the coterminal angle to 68 degrees?

• 428 degrees

• 360 degrees

• 292 degrees

• 68 degrees

If K = -1, what is the coterminal angle to 68 degrees?

• -428 degrees

• -292 degrees

• -360 degrees

• -68 degrees

How can you find additional coterminal angles?

• By changing the value of K

• By multiplying by 2

• By subtracting 180 degrees

• By adding 90 degrees