Learn how to construct the unit circle

The video tutorial explains how to construct and understand the unit circle, focusing on the conversion between degrees and radians, and the calculation of angles using fractions of π. It covers the basic coordinates, adding angles in increments of 45 and 30 degrees, and provides corrections for common mistakes.

What are the basic coordinates of the unit circle?

• (1, 1), (0, 0), (-1, 1), (0, -1)

• (1, 0), (0, 1), (-1, 0), (0, -1)

• (1, 0), (0, 0), (-1, 0), (0, 1)

• (0, 0), (1, 1), (-1, -1), (0, 0)

What is the radian measure for 180 degrees?

• 3π/2

• π/2

• π

• 2π

How many degrees are there in a full circle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

What is the radian measure for 90 degrees?

• π/2

• π/4

• 2π

• π

What is the degree measure for 3π/4 radians?

• 225 degrees

• 135 degrees

• 90 degrees

• 180 degrees

What is the radian measure for 60 degrees?

• 2π/3

• π/3

• π/2

• π/6

What is the degree measure for 11π/6 radians?

• 300 degrees

• 315 degrees

• 330 degrees

• 345 degrees