Find the coordinate point of the given angle

The video tutorial explains how to find the smallest positive coterminal angle by adding or subtracting multiples of 2π. It demonstrates the process of calculating the smallest coterminal angle by repeatedly subtracting 4π/2 until a positive angle is achieved. The tutorial also covers graphing the angle 3π/2 and determining its position on the unit circle, emphasizing the understanding of unit circle coordinates.

What is the purpose of adding or subtracting multiples of 2π when finding coterminal angles?

• To obtain the smallest positive coterminal angle

• To find a different angle with a new terminal side

• To increase the angle's magnitude

• To change the angle's initial side

What is the result of subtracting 4π/2 from 19π/2?

• 7π/2

• 11π/2

• 15π/2

• 3π/2

How many times do you subtract 4π/2 from 19π/2 to reach 3π/2?

• Two times

• Three times

• Five times

• Four times

Where is the angle 3π/2 located on the unit circle?

• At the left side of the circle

• At the bottom of the circle

• At the right side of the circle

• At the top of the circle

What are the coordinates of the point corresponding to 3π/2 on the unit circle?

• (1, 0)

• (0, 1)

• (-1, 0)

• (0, -1)