Graphs of Sine & Cosine
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the amplitude of a sine or cosine function?
Back
The amplitude is the maximum distance from the midline of the graph to its peak or trough. It is always a positive value.
2.
FLASHCARD QUESTION
Front
How do you determine the amplitude from the equation y = a sin(bx) + c or y = a cos(bx) + c?
Back
The amplitude is given by the absolute value of 'a'. For example, in y = 3 sin(2x), the amplitude is 3.
3.
FLASHCARD QUESTION
Front
What is the period of a sine or cosine function?
Back
4.
FLASHCARD QUESTION
Front
What is the period of the function y = sin(4x)?
Back
5.
FLASHCARD QUESTION
Front
Write the equation for a sine function with an amplitude of 5 and a period of 2π.
Back
y = 5 sin(x) because the period is 2π when b = 1.
6.
FLASHCARD QUESTION
Front
What is the effect of changing the value of 'b' in the function y = a sin(bx)?
Back
7.
FLASHCARD QUESTION
Front
What is the midline of a sine or cosine function?
Back
The midline is the horizontal line that runs through the middle of the wave, represented by 'c' in the equations y = a sin(bx) + c or y = a cos(bx) + c.
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