Finding the period of sin function

**juliak** · December 8th 2009, 04:13 AM

g(x) = sin(0.5x)

I'm supposed to find the period of this function. But I don't know how.

I think that the periodic is supposed to be on the outside of the bracket, like sinP(x-1) or something like that. But i'm not sure how to change it into that form.

**Bacterius** · December 8th 2009, 04:24 AM

$sin(0.5x) = sin(0.5x + 2 \pi)$

Factorize :

$sin(0.5x + 2 \pi) = sin[0.5(x + 4 \pi)]$

Thus the period of this function is $4 \pi$

**juliak** · December 8th 2009, 06:34 AM

Why do you put +2pi?

**Bacterius** · December 8th 2009, 12:38 PM

Erm sorry + 2kpi, with k in Z.

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