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Sketch the graphs of the following functions: f(x) = tan 2x - Mathematics

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Question

Sketch the graphs of the following functions:
f(x) = tan 2x

Short Note

Solution

Step I- We find the value of c and a by comparing y = 2 tan 2x with y = c tan ax, i.e. c = 1 and a = 2.
Step II- Then, we draw the graph of y =  tan x and mark the point where it crosses the x-axis.
Step 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 obtain the following graph:

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Graphs of Trigonometric Functions
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Q 10
Chapter 6: Graphs of Trigonometric Functions - Exercise 6.3 [Page 13]

APPEARS IN

RD Sharma Mathematics [English] Class 11
Chapter 6 Graphs of Trigonometric Functions
Exercise 6.3 | Q 10 | Page 13

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