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Evaluate for the inverse tangent using the unit circle

Evaluate for the inverse tangent using the unit circle

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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.

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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 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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle has a tangent value of 1?

π/4

π/6

π/3

π/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the tangent of π/3?

0

1

sqrt(3)/3

sqrt(3)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Third quadrant

First quadrant

Second quadrant

Fourth quadrant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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