What is the period of the function y=3 sin(2x)?

1 Answer
Shell
Dec 29, 2016

The period is pi.

Explanation:

Given a trig function in the form y=Asin(Bx-C)+D.

the period is equal to (2pi)/B.

In this example, y=3sincolor(red)2x, B=color(red)2

The period is equal to (2pi)/color(red)2 =pi.

Another way to think of this is by examing the function y=sinx, which has a period of 2pi. In other words, once complete cyle of sin is 2pi "long".

In comparison, y=sincolor(red)2x has a period of pi, and color(red)2 complete cycles "fit" within 2pi, making one cycle pi "long".

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