Evaluate the expression for composition of cosine and arctan

The video tutorial explains how to find angles using the tangent inverse function, focusing on the unit circle and specific angles like π/6, π/4, and π/3. It covers calculating tangent values, analyzing quadrants for positive and negative values, and determining the cosine of π/3. The tutorial emphasizes understanding the relationship between coordinates and trigonometric functions.

What is the angle whose tangent is equal to sqrt 3?

• π/6

• π/3

• π/2

• π/4

What is the tangent of π/6?

• sqrt 3 / 3

• 1/2

• sqrt 3

• 1

Which angle has a tangent value of 1?

• π/3

• π/4

• π/6

• π/2

In which quadrant is the tangent positive and the angle within the constraint of -π/2 to π/2?

• Fourth quadrant

• Third quadrant

• First quadrant

• Second quadrant

What is the cosine of π/3?

• 1/2

• sqrt 3 / 2

• 1

• 0