Q. 2 A

# Sketch the graphs of the following pairs of functions on the same axes :

f(x) = sin x, g(x) = sin

Answer :

We observe that the functions f(x) = sin x and g (x) = sin (x + π/4) are periodic functions with periods 2π and 7π/4.

The values of these functions are tabulated below:

Values of f (x) = sin x in [0, 2π]

Values of g (x) = sin (x + π/4) in [0, 7π/4]

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

Rate this question :

Draw the graph of each of the following functions:

RS Aggarwal - Mathematics

Draw the graph of each of the following functions:

3sin x

RS Aggarwal - Mathematics

Draw the graphs of y = sin x and on the same axes.

RS Aggarwal - MathematicsSketch the graphs of the following pairs of functions on the same axes :

f(x) = sin x, g(x) = sin 2x

RD Sharma - MathematicsSketch the graphs of the following pairs of functions on the same axes :

f(x) = sin, g(x) = sin x

RD Sharma - MathematicsSketch the graphs of the following pairs of functions on the same axes :

f(x) = sin 2x, g(x) = 2 sin x

RD Sharma - MathematicsSketch the graphs of the following functions :

u(x) = sin^{2} x, 0 ≤ x ≤ 2π υ(x) = |sin x|, 0 ≤ x ≤ 2π

Draw the graph of each of the following functions:

Sin 3x

RS Aggarwal - Mathematics

Sketch the graphs of the following pairs of functions on the same axes :

f(x) = sin x, g(x) = sin

RD Sharma - Mathematics