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

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

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the angle π/4 located?

Fourth quadrant

Third quadrant

First quadrant

Second quadrant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

0

sqrt(2)

2

1

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