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lidiya [134]
1 year ago
5

Sketch the graph of y =sine3x​

Mathematics
1 answer:
IgorLugansk [536]1 year ago
8 0

The graph of \mathbf{y=\sin{3x}} is given by,

Here given the function is y=\sin{3x}

when x=0\Rightarrow y=\sin{3\times 0}=\sin0=0, then it passes through the origin (0,0).

When x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1

Since we know that, -1\leq\sin{x}\leq1,\forall x, then the function has maximum height at x=\frac{\pi}{6}.

Again when x=\frac{\pi}{3}\Rightarrow y=\sin{(3\times\frac{\pi}{3})}=\sin\pi=0, again the function is 0.

So clearly the function is the Oscillating function.

Using graphing calculator we get the graph of function y=\sin3x,

Learn more about Trigonometric Function here -

brainly.com/question/1143565

#SPJ10

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