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Determine the period of the following trigonometric function.y, equals, 2, cosine, left parenthesis, pi, x, right parenthesisy=2cos(πx)

Question

Determine the period of the following trigonometric function.y, equals, 2, cosine, left parenthesis, pi, x, right parenthesisy=2cos(πx)

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Solution

The period of a trigonometric function is determined by the coefficient of x inside the function. For a cosine function of the form y = A cos(Bx), the period is given by (2π) / |B|.

In the given function y = 2cos(πx), the coefficient of x is π.

Therefore, the period of the function is (2π) / |π| = 2.

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