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Sketch the graphs of the following functions :

f(x) = 2 sin x, 0 ≤ x ≤ π

g(x) = 3 sin

h(x) = 2 sin 3x, 0 ≤ x ≤ 2 π/3

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

f(x) = 2 sin πx, 0 ≤ x ≤ 2.

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

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

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

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

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

Sketch the graphs of the following trigonometric functions :

f(x) = cos

g(x) = cos

h(x) = cos^{2} 2x

f(x) = cos π x

g(x) = cos 2π x

Sketch the graphs of the following curves on the same scale and the same axes :

y = cos x and y = cos

y = cos 2x and y = cos

y = cos^{2} x and y = cos x

f(x) = 2 cosec πx

f(x) = 3 sec x

f(x) = cot 2x

f(x) = 2sec πx

f(x) = tan^{2} x

f(x) = cot^{2} x

f(x) = sec^{2} x

f(x) = cosec^{2} x

f(x) = tan 2x