PreCalc Ch.4 Lessons 4 and 5: Trig Functions and Transformations

PreCalc Ch.4 Lessons 4 and 5: Trig Functions and Transformations

11th Grade

30 Qs

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PreCalc Ch.4 Lessons 4 and 5: Trig Functions and Transformations

PreCalc Ch.4 Lessons 4 and 5: Trig Functions and Transformations

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Easy

CCSS
HSF-IF.C.7E, HSF.TF.A.2, HSF.TF.B.7

+1

Standards-aligned

Created by

Steven Walters

Used 1+ times

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30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

1

3

0

2

Answer explanation

The amplitude of a sine function is the coefficient in front of the sine term. In the function y = 3sin(x), the amplitude is 3. Therefore, the correct answer is 3.

Tags

CCSS.HSF-IF.C.7E

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Answer explanation

The period of the cosine function is given by \( \frac{2\pi}{|b|} \), where \( b \) is the coefficient of \( x \). Here, \( b = 2 \), so the period is \( \frac{2\pi}{2} = \pi \). Thus, the correct answer is \( \pi \).

Tags

CCSS.HSF.TF.A.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Cosine graph

Sine graph reflected over x-axis

Answer explanation

The equation y = sin(x - π/2) represents a sine graph shifted right by π/2. This is because subtracting π/2 from x moves the graph to the right along the x-axis.

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

-2

2

1

0

Answer explanation

The amplitude of a cosine function is the absolute value of the coefficient in front of the cosine. Here, the coefficient is -2, so the amplitude is |-2| = 2. Thus, the correct answer is 2.

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Answer explanation

The period of the tangent function, y = tan(x), is π. This means that the function repeats its values every π units along the x-axis, making π the correct choice among the options.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Answer explanation

The amplitude of a sine function is given by the coefficient in front of the sine. Here, the correct choice is y = 4sin(x), which has an amplitude of 4. The period is 2π, matching the standard sine function.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Sri and Harshini are exploring trigonometric functions in class. Can you help them out? What is the reciprocal of the sine function?

Answer explanation

The reciprocal of the sine function is the cosecant function, denoted as \csc(x). This means \csc(x) = \frac{1}{\sin(x)}. Therefore, the correct answer is \csc(x).

Tags

CCSS.HSF.TF.A.2

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