Verify that the period of function `f(x) =sin^(10)x " is " pi.`

Explanation

We have `f(x)=sin^(10)x`
Now `f(x+pi)=sin^(10)(x+pi)`
`=(sin(x+pi))^(10)`
`=(-sinx)^(10)`
`=sin^(10)x`
`=f(x)`
Thus, we have `f(x+pi)=f(x)` for all ` x in R.`
So,period of f(x) is `pi`.