Finding two coterminal angles for a given angle in terms of pie

The video tutorial explains coterminal angles, which are angles sharing the same initial and terminal sides. It demonstrates how to find coterminal angles by adding or subtracting 2π, using examples like π/6. The tutorial highlights that there are infinite coterminal angles and provides methods to calculate them algebraically.

What is a coterminal angle?

• An angle that has the same initial and terminal sides

• An angle that starts and ends at different sides

• An angle that is always positive

• An angle that is always negative

How can you find a coterminal angle in the negative direction?

• Subtract 2π

• Subtract π/6

• Add π/6

• Add 2π

What is the result of subtracting 2π from π/6?

• -11π/6

• π/6

• 11π/6

• -π/6

What is the simple method to find two coterminal angles?

• Divide by 2π

• Multiply by 2π

• Add or subtract 2π

• Add or subtract π

Why are there infinite coterminal angles?

• Because angles can only be positive

• Because you can keep adding or subtracting 2π

• Because angles can only be negative

• Because angles are always less than 360 degrees

How can you algebraically find a coterminal angle?

• Multiply by π

• Divide by π

• Add or subtract 2π

• Add or subtract π/2

What happens when you add 4π to an angle?

• You get a new angle with a different terminal side

• The angle becomes zero

• You get a coterminal angle

• The angle becomes negative