## DeleonBRRJ 3 years ago Where the periodic function assumes its extreme values ​​and that these values ​​are?

1. DeleonBRRJ

$F(x)=e^{Sin \frac{ X }{ 2 }}$

2. anonymous

The function will have its peaks when sinx = 1 or -1. Using a unit circle, you can see that they occur at pi/2 + pix. But since the quantity is halved, you double this number and get: pi + 2pix

3. anonymous

Isn't it clearer to write pi + 2pi*k, where k is an integer?