Evaluate the expression for composition of cosine and arctan

The video tutorial explains how to find the angle for which the tangent is equal to sqrt 3 using the unit circle. It covers the tangent values for angles π/6, π/4, and π/3, and discusses the constraints of angles within the unit circle. The tutorial also includes a brief calculation of the cosine of π/3, emphasizing the importance of understanding these trigonometric concepts.

What is the tangent inverse of sqrt 3 asking us to find?

• The angle where cotangent equals sqrt 3

• The angle where tangent equals sqrt 3

• The angle where sine equals sqrt 3

• The angle where cosine equals sqrt 3

Which angle has a tangent value of sqrt 3/3?

• π/3

• π/4

• π/6

• π/2

What is the tangent of π/4?

• sqrt 3

• 1

• 0

• sqrt 3/3

In which quadrant is the angle with a positive tangent value of sqrt 3 located?

• Fourth quadrant

• Third quadrant

• First quadrant

• Second quadrant

What is the cosine of the angle π/3?

• 1/2

• sqrt 3/2

• 1

• 0