Evaluate for the inverse tangent using the unit circle

The video tutorial explains the concept of tangent in trigonometry, focusing on its definition as the ratio of the y-coordinate to the x-coordinate. It covers the unit circle, highlighting key angles such as π/6, π/4, and π/3, and demonstrates how to calculate the tangent for these angles. The tutorial also addresses the handling of negative tangent values and the restrictions of tangent within the first and fourth quadrants, concluding with the identification of the correct angle in the fourth quadrant.

What is the tangent of an angle defined as?

• The ratio of the x-coordinate to the y-coordinate

• The ratio of the y-coordinate to the x-coordinate

• The difference between the x and y coordinates

• The sum of the x and y coordinates

Which angle has a tangent value of 1?

• π/4

• π/6

• π/3

• π/2

What is the tangent of π/3?

• 0

• 1

• sqrt(3)/3

• sqrt(3)

Which quadrant must the angle be in for a negative tangent value?

• Third quadrant

• First quadrant

• Second quadrant

• Fourth quadrant

What is the angle in the fourth quadrant that corresponds to a tangent of -sqrt(3)/3?

• -π/3

• -π/4

• -π/6

• -π/2