Understanding the Unit Circle

The video tutorial explores the unit circle, focusing on the main angles and two families of angles: the 30° family and the 45° family. It begins with an introduction to the unit circle, highlighting the main angles at 0°, 90°, 180°, 270°, and 360°. The tutorial then delves into the 30° family, explaining how angles increase in 30° increments, covering angles like 30°, 60°, 90°, up to 360°. Following this, the 45° family is discussed, with angles increasing in 45° increments, such as 45°, 90°, 135°, up to 360°. The video aims to help viewers understand these angle families within the unit circle context.

What is the radius of a unit circle?

• 0

• 1

• 3

• 2

Which angle is not one of the main spokes of the unit circle?

• 90°

• 0°

• 180°

• 45°

What is the next angle in the 30° family after 60°?

• 75°

• 90°

• 150°

• 120°

Which angle is part of the 30° family?

• 135°

• 315°

• 210°

• 45°

What is the first angle in the 45° family?

• 90°

• 30°

• 45°

• 60°

What angle do you get when you add 45° to 90°?

• 270°

• 135°

• 225°

• 180°

Which angle is not part of the 45° family?

• 225°

• 135°

• 240°

• 45°

What is the angle in the 45° family that comes after 225°?

• 315°

• 270°

• 180°

• 360°

How many degrees are added to each angle in the 45° family?

• 30°

• 15°

• 60°

• 45°