Sketch the graph of x = 3(sin 4t + π/6)

Question

Sketch the graph of [latex]x=3(\sin 4 t+\pi / 6)[/latex]

Accepted Answer

We do this in three steps, starting with the graph of [latex]\sin x[/latex]. Here [latex]\omega_{0}=4[/latex], so the graph is periodic of period [latex]2 \pi / 4=\pi / 2[/latex]. Also, we note that

[latex]\frac{\phi}{\omega_{0}}=\frac{\pi / 6}{4}=\frac{\pi}{24}[/latex]

Question 11.13.1: Sketch the graph of x = 3(sin 4t + π/6)

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