Question

Sketch the graphs of the following function :

f(x) = 2 sin x, 0 ≤ x ≤ π

Answer 1

We know that g (x) = sin x is a periodic function with period π.

∴ f (x) = 2 sin x is a periodic function with period π. So, we will draw the graph of f (x) = 2 sin x in the interval [0, π]. The values of f (x) = 2 sin x at various points in [0, π] are listed in the following table:

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