Tutorial for evaluating tangent of an angle on the unit circle first quadrant

The video tutorial covers the first quadrant of the unit circle, explaining the significance of angles π/6, π/4, π/3, and π/2, which correspond to 30, 45, 60, and 90 degrees, respectively. It highlights the coordinate points associated with these angles and introduces the concept of special right triangles within the unit circle, emphasizing that each triangle has a radius of 1. The tutorial further explores the tangent function, illustrating how it can be simplified using the coordinates of the unit circle, particularly for a 45-degree triangle where the tangent is y/x.

What is the degree equivalent of π/3 in the unit circle?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

What is the radius of the triangles that form the unit circle?

• 0.5

• 1

• sqrt(2)

• 2

Which of the following best describes the unit circle?

• A circle with a radius of 2

• A collection of special right triangles inside a circle

• A circle with no triangles

• A square inside a circle

In a 45-degree triangle within the unit circle, what is the tangent of the angle?

• 0

• 1

• sqrt(2)

• 2

How can tangent be calculated in the unit circle when the radius is 1?

• Using the ratio of y to x

• Using only the y-coordinate

• Using only the x-coordinate

• Using the sum of x and y