Determination of the period of Sinus

[kubas126]

Hi,
I am trying to solve this problem. I would want to make equation in the shape of: A*Sin(x*B), where A=10 but I do not know parameter B.
I know how the graph looks like

Is there some way to find out it? Thank you
btw: I need the parrameter B to I could make graph in Wolfram Mathematica from the equation.

[Baltuilhe]

Good night!

[tex]f(x)=A\cdot\sin\left(Bx\right)[/tex]
To x=25, f(x)=10, so:
[tex]10\sin(25B)=10\\
\sin(25B)=1\\
25B=\frac{\pi}{2}\\
B=\frac{\pi}{50}[/tex]

[tex]f(x)=10\cdot\sin\left(\frac{x\pi}{50}\right)[/tex]

Hope to have helped!

[HallsofIvy]

From your graph, your function has period 100. The "standard", sin(x), has period [tex]2\pi[/tex] so you must have [tex]100B= 2\pi[/tex] so [tex]B= \frac{2\pi}{100}= \frac{\pi}{50}[/tex].