Answer:
2 pi/3
Step-by-step explanation:
Step 1: Know the Equation of a Trig Function
[tex]y = a \sin(b(x - c)) + d[/tex]
where |a| is the amplitude
The period is
[tex] \frac{2\pi}{ |b| } [/tex]
The phase shift is c.
Vertical shift is d.
So first, identity b. Here b is the 3.
So use the formula for a period.
Step 2: Computation.
[tex] \frac{2\pi}{ |b| } = \frac{2\pi}{3} [/tex]
So the period is 2 pi/3
What does this mean?
This means every 2 pi/3, the function will repeat itself. which is called oscillation.
