Question

Sketch the graph of the following functions:
y=tan 2x, y=tan x

Answer 1

To draw the graph of y = tan 2, we will follow the steps given below.
(i) we find the value of c and a by comparing y = tan 2x with y = c tan ax, i.e., c=1 and a = 2.
(ii) Then, we draw the graph of y = tan x and mark the point where it crosses the x-axis.
(iii) Divide the x-coordinates of the points where y= tan x crosses x-axis by 2 (i.e., a=2) and mark the maximum value (i.e., c=1) and minimum value (i.e.,-c=-1). Then, we will draw the graph of y = tan x.