Sketch the Angle in Standard Position

The video tutorial explains how to sketch an angle of 17π/3 on a circle by converting π and 2π into thirds for easier calculation. The instructor guides through the process of setting up the initial side, understanding the rotation direction, and graphing the circle using thirds. The tutorial concludes by completing the rotation to reach 17π/3, highlighting the extra revolutions involved.

What is the initial direction of rotation when sketching angles?

• Clockwise

• Downwards

• Upwards

• Counterclockwise

How is π rewritten in terms of thirds?

• π/3

• 2π/3

• 3π/3

• 4π/3

What is the equivalent of 2π in terms of thirds?

• 7π/3

• 6π/3

• 5π/3

• 4π/3

Which of the following is a step in counting up to 17π/3?

• Using the X&Y axis

• Counting by halves

• Skipping to 9π

• Counting by quarters

What is the final angle reached after counting the revolutions?

• 18π/3

• 17π/3

• 16π/3

• 15π/3