Question

Sketch the graphs of the following functions:

6. y = 2 cot 2x

Answer 1

Step I- We find the value of c and a by comparing y = 2 cot 2x with y = c cot ax, i.e. c = 2 and a = 2.
Step II- Then we draw the graph of y = cot x and mark the point where it crosses the x-axis.
Step III- Divide the x-coordinates of the points where y = cot x crosses x-axis by 2 (i.e. a = 2) and mark the maximum value (i.e. c =2) and minimum value (i.e.$-$c = $-$2).
Then, we obtain the following graph: