Evaluating the cotangent function using the first quadrant of the unit circle

The video tutorial explains the relationship between tangent and cotangent, emphasizing that tangent is the ratio of y to x, while cotangent is the inverse. It guides viewers through identifying the coordinates for the angle π/4 on the unit circle, which are (sqrt(2)/2, sqrt(2)/2). Using these coordinates, the tutorial demonstrates how to calculate the cotangent of π/4 by dividing x by y, resulting in a value of one.

What is the tangent of an angle defined as?

• The ratio of X to y

• The ratio of y to X

• The difference between X and y

• The sum of X and y

How is the cotangent of an angle calculated?

• By adding X and y

• By multiplying X and y

• By dividing y by X

• By dividing X by y

What are the coordinates for the angle π/4 on the unit circle?

• (sqrt(2)/2, sqrt(2)/2)

• (0, 1)

• (1, 0)

• (1/2, sqrt(3)/2)

In which quadrant is the angle π/4 located?

• Fourth quadrant

• Third quadrant

• First quadrant

• Second quadrant

What is the value of the cotangent of π/4?

• 0

• sqrt(2)

• 2

• 1