Question 1138351
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The equation {{{y=-2sin(x/2)}}} is the same as {{{y=-2sin((1/2)x-0)+0}}}


Compare {{{y=-2sin((1/2)x-0)+0}}} to the form {{{y=Asin(Bx-C)+D}}} and we see that
A = -2
B = 1/2
C = 0
D = 0
The value of B determines the period 


T = period


T = {{{(2pi)/B}}}


T = {{{(2pi)/(1/2)}}}


T = {{{(2pi)*(2/1)}}}


T = {{{4pi}}}


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Answer: The period is {{{4pi}}}


Every {{{4pi}}} units, the graph repeats itself.
note that {{{4pi}}} radians converts to 720 degrees since 4pi*(180/pi) = 4*180 = 720
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