Amplitude and Period

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of amplitude in a periodic function?
Back
Amplitude is the maximum distance from the midline (equilibrium position) of the wave to its peak (or trough). It represents the height of the wave.
2.
FLASHCARD QUESTION
Front
How do you find the amplitude of a sine or cosine function?
Back
The amplitude can be found by taking the absolute value of the coefficient in front of the sine or cosine function. For example, in y = A sin(x), the amplitude is |A|.
3.
FLASHCARD QUESTION
Front
What is the definition of period in a periodic function?
Back
The period is the length of one complete cycle of the wave. It is the distance (or time) it takes for the function to repeat itself.
4.
FLASHCARD QUESTION
Front
How do you find the period of a sine or cosine function?
Back
The period can be calculated using the formula: Period = 2π / |B|, where B is the coefficient of x in the function y = A sin(Bx) or y = A cos(Bx).
5.
FLASHCARD QUESTION
Front
If the function is y = 3 sin(2x), what is the amplitude?
Back
The amplitude is 3.
6.
FLASHCARD QUESTION
Front
If the function is y = -4 cos(x), what is the amplitude?
Back
The amplitude is 4 (the negative sign indicates the direction of the wave, but amplitude is always positive).
7.
FLASHCARD QUESTION
Front
If the function is y = 5 sin(πx), what is the period?
Back
The period is 2 (calculated as 2π / π = 2).
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