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You should remember that the period of tangent function is `pi` .
Your tangent function is `tan (x/2)` , therefore you should divide the period pi by `x/2` .
Use the notation p for period.
`p = pi/(x/2) =gt p = (2pi)/x`
The period of the function `tan(x/2)` is `p = 2pi/x` .
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