Q. 1 G5.0( 1 Vote )

# Sketch the graphs of the following trigonometric functions :

f(x) = cos π x

Answer :

__We know that g (x) = cos x is a periodic function with period 2π.__

∴ f (x) = cos (πx) is a periodic function with period 2. So, we will draw the graph of f (x) = cos (πx) in the interval [0, 2]. The values of f (x) = cos (πx) at various points in [0, 2] are listed in the following table:

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

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