Can somebody tell me how can i find the periodicity of:
$\displaystyle sen^2(x)$ and $\displaystyle sen\sqrt{x}$
I know that i have to equal $\displaystyle f(x)$ to $\displaystyle f(x+p)$ but i cant solve it.
Help is always appreciated .
Can somebody tell me how can i find the periodicity of:
$\displaystyle sen^2(x)$ and $\displaystyle sen\sqrt{x}$
I know that i have to equal $\displaystyle f(x)$ to $\displaystyle f(x+p)$ but i cant solve it.
Help is always appreciated .
I never noticed that
$\displaystyle sin^2(x) = \frac{1-cos(2x)}{2}$
$\displaystyle \frac{1-cos(2x+2P)}{2} = \frac{1-cos(2x)}{2} $
$\displaystyle cos(2x+2P) = cos(2x)$ k belongs to Z
$\displaystyle 2x + 2P = 2x + 2k\pi~~\cup~~2x + 2P = -2x + 2k\pi$
$\displaystyle P = k\pi~~\cup~~P= -2x +k\pi$
So $\displaystyle P= \pi~~~right??$
The other function, is not periodic, because we can see in graphic. But how can i prove that is not periodic??