
PreCalc Ch.4 Lessons 4 and 5: Trig Functions and Transformations
Authored by Steven Walters
Mathematics
11th Grade
CCSS covered
Used 1+ times

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30 questions
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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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