Question

Can you tell my how to graph it step by step?
Thank you.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

y = sin (1/2 x)

Step 02:

Graph:

$y\text{ = }\sin (\frac{1}{2}x)\text{ }$

T = 2π / w

T = 2π / (1/2) = 4π

Points to plot:

x = 0:

y = sin (1/2 * 0) = sin ( 0) = 0

(0 , 0)

x = π:

y = sin (1/2 * π) = sin (π/2) = 1

( π , 1)

x = 2π:

y = sin (1/2 * 2π) = sin (π) = 0

(2π , 0)

In this way, all the points are successively calculated.

Graph:

That is the full solution.