What is the periodicity of f(x)=-3cos((3x)/pi) ?

The periodicity of f(x)=-3cos((3x)/pi) is (2pi^2)/3

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periodicity of f(x)=-3cos((3x)/pi)

periodicity

f (x) = - 3 cos (\frac{3 x}{π})

\frac{2 π ^{2}}{3}

Solution steps

Periodicity of

a \cdot cos (b x + c) + d = \frac{periodicity of cos ( x )}{∣ b ∣}

Periodicity of

cos (x)

2 π

= \frac{2 π}{\frac{3}{π}}

Simplify

= \frac{2 π ^{2}}{3}

x^{4} - 4 x^{2}

\frac{x + 1}{x ^{2} + x + 1}

x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 7

5 sin (3 x - π)

(7, 8), (2, 2)

What is the periodicity of f(x)=-3cos((3x)/pi) ?
The periodicity of f(x)=-3cos((3x)/pi) is (2pi^2)/3