Understanding Coterminal Angles

The video tutorial explains coterminal angles, which share the same initial and terminal sides. It covers how to find coterminal angles by adding or subtracting a full circle, either in degrees (360) or radians (2π). The tutorial demonstrates finding one positive and one negative coterminal angle for given angles in both degrees and radians, using examples of 215 degrees and π/4 radians.

What is a coterminal angle?

• An angle that is always 360 degrees

• An angle that shares the same initial and terminal sides

• An angle that is always 180 degrees

• An angle that is always 90 degrees

How do you find a coterminal angle in degrees?

• Add or subtract 360 degrees

• Add or subtract 180 degrees

• Add or subtract 90 degrees

• Add or subtract 45 degrees

What is the positive coterminal angle of 215 degrees?

• 215 degrees

• 575 degrees

• 145 degrees

• 360 degrees

What is the negative coterminal angle of 215 degrees?

• -145 degrees

• -215 degrees

• -360 degrees

• -575 degrees

What is the positive coterminal angle of π/4?

• 3π/4

• 9π/4

• 7π/4

• π/2

What is the negative coterminal angle of π/4?

• -3π/4

• -π/2

• -7π/4

• -9π/4

Tags

CCSS.4.MD.C.7

Why do we need a common denominator when adding or subtracting in radians?

• To simplify the calculation

• To ensure the angles are in degrees

• To convert radians to degrees

• To make the angles larger

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the full revolution in radians?

• π

• 2π

• 4π

• 3π

How do you find a negative coterminal angle in radians?

• Subtract π

• Add 2π

• Subtract 2π

• Add π

What is the main takeaway from the video on coterminal angles?

• Coterminal angles can be found by adding or subtracting a full circle

• Coterminal angles are only in radians

• Coterminal angles are only in degrees

• Coterminal angles are always positive