How to quickly find the asymptotes of any trigonometric function

How to quickly find the asymptotes of any trigonometric function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains the concept of asymptotes in trigonometric functions, focusing on tangent, cotangent, secant, and cosecant. It uses the unit circle to illustrate how asymptotes occur when the denominator is zero. The tutorial also covers the impact of transformations on these asymptotes, emphasizing the importance of understanding rather than memorizing the unit circle and asymptote equations.

Read more

7 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the four different functions that have asymptotes?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the unit circle in understanding trigonometric functions.

Evaluate responses using AI:

OFF

3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the angles and the asymptotes of the tangent function?

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you derive the equation for the asymptotes of the tangent function?

Evaluate responses using AI:

OFF

5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the pattern observed in the asymptotes of the cotangent function?

Evaluate responses using AI:

OFF

6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the general equation for the asymptotes of the secant function?

Evaluate responses using AI:

OFF

7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how transformations affect the asymptotes of trigonometric functions.

Evaluate responses using AI:

OFF