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Graph one period of each function. y = 3 sin 2x
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4. Graphing Trigonometric Functions
Graphs of the Sine and Cosine Functions
Scelta multipla
What is the period of the function ?
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Guida verificata passo dopo passo1
Recall that the period of a trigonometric function like sine is the length of the interval over which the function completes one full cycle and starts repeating.
The general form of the sine function is \(f(x) = \sin(x)\), where the standard period is \(2\pi\).
This means that \(\sin(x)\) repeats its values every \(2\pi\) units along the x-axis.
To confirm, you can check that \(\sin(x) = \sin(x + 2\pi)\) for all values of \(x\), which defines the period.
Therefore, the period of \(f(x) = \sin(x)\) is \(2\pi\).
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