Graphing and Analyzing Trigonometric Functions

Graphing and Analyzing Trigonometric Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to graph the inverses of sine and cosine functions, specifically focusing on the cosecant and secant functions. It provides a step-by-step guide on graphing these functions, starting with the sine and cosine functions, respectively. The tutorial includes examples, such as graphing y = 3 cosec(1/4x) and y = sec(2x), and discusses the importance of amplitude, period, and asymptotes in constructing these graphs.

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11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse of the sine function?

Secant

Cosecant

Tangent

Cotangent

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing the inverse of a sine function?

Graph the cosine function

Graph the sine function

Find the amplitude

Determine the period

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do vertical asymptotes represent in the graph of a cosecant function?

Maximum points

Intercepts

Minimum points

Undefined points

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the period of y = 3 cosecant (1/4)x?

16π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the amplitude of the function y = 3 cosecant (1/4)x?

1

2

3

4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the graph of y = 3 cosecant (1/4)x, how many partitions are used for one period?

5

4

3

2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse function used to graph the secant function?

Cosecant

Sine

Cosine

Tangent

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