Sketch the graphs of the following functions :

g(x) = 3 sin

We know that if f(x) is a periodic function with period T, then f (ax + b) is periodic with period T/|a|.

∴ is a periodic function with period π. So, we will draw the graph of in the interval [0, 5π/4]. The values of at various points in [0, 5π/4] are listed in the following table:

By plotting the above points, we obtain the required curve.