What is the periodicity of f(x)= 1/5 cos(3x) ?

The periodicity of f(x)= 1/5 cos(3x) is (2pi)/3

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periodicity of f(x)= 1/5 cos(3x)

periodicity

f (x) = \frac{1}{5} cos (3 x)

\frac{2 π}{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}{∣ 3 ∣}

Simplify

= \frac{2 π}{3}

f (x) = \frac{x + 2}{x ^{2} + 4}

f (x) = \frac{x + 3}{x - 1}

\frac{x + 3}{x - 1}

f (x) = \frac{x ^{4}}{x ^{2} + x - 6}

(6, - 2), (- 4, 4)

What is the periodicity of f(x)= 1/5 cos(3x) ?
The periodicity of f(x)= 1/5 cos(3x) is (2pi)/3