Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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Sketch the Graph of the Following Pair of Functions on the Same Axes:F(X) = Sin 2x, G(X) = 2 Sin X - Mathematics

Answer in Brief

Sketch the graph of the following pair of functions on the same axes:
f(x) = sin 2x, g(x) = 2 sin x

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f(x) = sin 2x, g(x) = 2 sin x

Clearly, sin 2x and 2 sin x is a periodic function with period π and 2π, respectively.

The graphs of f(x) = sin 2x and g(x) = 2 sin x on different axes are shown below:

If these two graphs are drawn on the same axes, then the graph is shown below.

Concept: Graphs of Trigonometric Functions
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RD Sharma Class 11 Mathematics Textbook
Chapter 6 Graphs of Trigonometric Functions
Exercise 6.1 | Q 2.3 | Page 5
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