Which is the amplitude of the graph of the sinusoid given by y=3sin (5x) ?

Question

Mathematics

Kaitlin

9 January, 00:33

Which is the amplitude of the graph of the sinusoid given by y=3sin (5x) ?

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Armani Odonnell · Answer 1

Peak amplitude is 3.

Because the sinus function is cyclic sin (x) and sin (5x) can be treated the same (the 5 only shifts the x position of the peak, not it's magnitude).

sin (x) is always between - 1 and 1, so the maximum is 1. The maximum is the peak, and because it is multiplied by 3, the peak amplitude is 3.