Determine two coterminal angles positive and negative

The video tutorial explains how to determine two coterminal angles, one positive and one negative, for a given angle of 4π/5. It begins by defining coterminal angles and their properties, then demonstrates how to graph the angle 4π/5. The tutorial continues by calculating the smallest positive coterminal angle by adding a full revolution (10π/5) to the original angle, resulting in 14π/5. It then explains how to find the smallest negative coterminal angle by subtracting a full revolution, resulting in -6π/5. The video concludes with a summary of the process.

What is a coterminal angle?

• An angle that is always negative.

• An angle that is always positive.

• An angle that has the same initial and terminal sides.

• An angle that has a different initial side but the same terminal side.

How do you find the smallest positive coterminal angle for 4π/5?

• Add 10π/5 to 4π/5.

• Subtract 2π from 4π/5.

• Add 2π to 4π/5.

• Subtract 10π/5 from 4π/5.

What is the smallest positive coterminal angle for 4π/5?

• 10π/5

• 6π/5

• 4π/5

• 14π/5

How do you find the smallest negative coterminal angle for 4π/5?

• Add 2π to 4π/5.

• Subtract 10π/5 from 4π/5.

• Subtract 2π from 4π/5.

• Add 10π/5 to 4π/5.

What is the smallest negative coterminal angle for 4π/5?

• -4π/5

• -10π/5

• -6π/5

• -14π/5