Question

Sketch the graphs of the following function :

f(x) = cosec² x

Answer 1

We know that g (x) = cosec x is a periodic function with period 2π.

∴ f (x) = cosec² (x) is a periodic function with period 2π. So, we will draw the graph of f (x) = cosec² (x) in the interval [0, 2π]. The values of f (x) = cosec² (x) at various points in [0, 2π] are listed in the following table:

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