Question

Draw the graph of the following functions:

sin x/2

Answer 1

To draw the graph of the curve sin(x/2) assume some standard angle measures which will help in locating the points and drawing the curve.

x	π/6	π/3	π/2	π	3π/2	2π
sin(x/2)	√3 - 1/2√2	1/2	1/√2	1	1√/2	0

Therefore, the graph of curve 2cos(3x) can be drawn as

Here, the frequency of the function sin(x) is decreased by 0.5 times.