Search Header Logo
Tangent Function Concepts and Properties

Tangent Function Concepts and Properties

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains the tangent function, focusing on its domain, range, period, symmetry, x-intercepts, vertical asymptotes, and key points. The domain excludes values where cosine is zero, while the range includes all real numbers. The period is pi, and the function is odd, showing symmetry at the origin. X-intercepts occur at multiples of pi, and vertical asymptotes are at pi/2 plus multiples of pi. Key points are identified where sine and cosine have equal magnitudes.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the tangent function?

All x values except where sine is zero

All x values except where tangent is zero

All real numbers

All x values except where cosine is zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the tangent function?

All numbers between -1 and 1

All negative numbers

All positive numbers

All real numbers

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the tangent function?

2π

π

4π

π/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of symmetry does the tangent function exhibit?

Symmetry about the y-axis

Symmetry about the x-axis

Symmetry about the origin

No symmetry

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where do the x-intercepts of the tangent function occur?

At multiples of π/4

At multiples of π

At multiples of π/2

At multiples of 2π

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where do the vertical asymptotes of the tangent function occur?

At x = π plus any multiple of π

At x = 0 plus any multiple of π

At x = π/2 plus any multiple of π

At x = π/4 plus any multiple of π

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key point on the tangent graph when x equals π/4?

(π/4, -1)

(π/4, 1)

(π/4, 0)

(π/4, π)

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Microsoft

Continue with Microsoft

or continue with

Facebook

Facebook

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?