Question 1015194
Standard form for equation for sine function: {{{y=Asin(B(x-C))+D}}}, with {{{A}}}=amplitude, period {{{2pi/B}}},{{{C}}} = horizontal shift (sometimes called "phase shift" when {{{B = 1}}}), and {{{D}}} = vertical shift (or displacement)


you have {{{y= 3 sin(theta)}}} , where {{{A=3}}}, {{{B=1}}}, {{{C=0}}},{{{D=0}}} 
so, period is {{{2pi/1=2pi}}}


{{{drawing( 600, 600, -0.1, 6.5, -5, 5,
circle(2pi,0,.04),circle(0,0,.04),
locate(2pi,0.4,2pi),locate(0.2,0.5,0),
 graph( 600, 600, -0.1, 6.5, -5, 5, 3sin(x))) }}}