Sketch the Angle in Standard Position

The video tutorial explains how to sketch a graph of the angle 2π/3 in radians. It begins with an introduction to graph sketching and the concept of radians, which are the distance of the radius wrapped around a circle. The tutorial then demonstrates how to divide a circle into thirds and graph the angle 2π/3 by rotating from the initial side to the terminal side in a counterclockwise direction.

What is the significance of radians in measuring angles?

• Radians measure the distance of the radius wrapped around the circle.

• Radians measure the distance of the diameter around the circle.

• Radians are used to measure the circumference of a circle.

• Radians are a unit of time measurement.

How many parts is the circle divided into to understand the angle 2π/3?

• Four parts

• Five parts

• Two parts

• Three parts

What is the angle measure of half a circle in radians?

• 3π/2 radians

• π radians

• 2π radians

• π/2 radians

In which direction is the angle 2π/3 sketched from the initial side?

• Clockwise

• Counterclockwise

• Horizontally

• Vertically

What is the terminal side of an angle?

• The ending point of the angle after rotation

• The line that divides the angle into two equal parts

• The starting point of the angle

• The midpoint of the angle