Determine two coterminal angles positive and negative

The video tutorial explains how to determine the smallest and largest coterminal angles for a given angle, Theta equals -15π/2. It discusses the concept of coterminal angles, which share the same initial and terminal sides, and demonstrates how to find these angles by adding or subtracting 2π. The tutorial uses sketches to visualize negative angles and explains the process of finding the smallest coterminal angle in both positive and negative directions, concluding with the results of -3π/2 and π/2 as the smallest coterminal angles.

What is the initial angle given in the video for finding coterminal angles?

• 15π/2

• π/2

• -3π/2

• -15π/2

What is the process used to find coterminal angles in the negative direction?

• Dividing by 2π

• Multiplying by 2π

• Subtracting 2π

• Adding 2π

How is 2π represented in the video to match the denominator of the given angle?

• 2π/2

• 3π/2

• 4π/2

• 5π/2

What is the smallest coterminal angle in the negative direction identified in the video?

• -5π/2

• -π/2

• -7π/2

• -3π/2

What is the smallest coterminal angle in the positive direction identified in the video?

• π

• 3π/2

• π/2

• 2π