How do you graph $f (x) = y = sin (\frac{x}{2})$ $f(x)=y=sin (x/2)$ ?

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Answer 1 · 2018-06-07T05:11:55

See below

$y = sin (\frac{x}{2})$ $y=sin(x/2)$

Consider the general equation of a sine function: $A sin (B x)$ $Asin(Bx)$

By definition, the amplitude of the function is $| A |$ $absA$ and the period of the function is $\frac{2 π}{| B |}$ $(2pi)/abs(B)$

In this example, $A = 1 and B = \frac{1}{2}$ $A=1 and B=1/2$

Hence, the graph of $y$ $y$ is a standard sine curve with a period of $4 π$ $4pi$ as shown below.

graph{sin(x/2) [-7.9, 7.9, -3.95, 3.95]}

How do you graph f(x)=y=sin(x2)f(x)=y=sin (x/2)?