Determine two coterminal angles positive and negative

The video tutorial explains how to determine the smallest positive and negative coterminal angles for 15π/4. It begins with an introduction to coterminal angles, followed by a graphical representation of the angle and its revolutions. The tutorial then demonstrates the algebraic method to find these angles by subtracting revolutions. It also covers finding coterminal angles in the negative direction. The video concludes with a summary of the process.

What is the definition of coterminal angles?

• Angles that are always positive

• Angles that are always negative

• Angles that have the same initial and terminal sides

• Angles that have different initial and terminal sides

How can a full revolution be expressed in terms of π?

• 6π

• 4π

• 8π

• 2π

What is the smallest positive coterminal angle for 15π/4?

• 3π/4

• 7π/4

• 5π/4

• 9π/4

What is the smallest negative coterminal angle for 15π/4?

• -7π/4

• -5π/4

• -3π/4

• -π/4

Why do we subtract 2π to find coterminal angles?

• To change the angle's direction

• To find a larger negative angle

• To find a smaller positive angle

• To increase the angle size