What is the periodicity of f(x)= 1/4 cos((8pix)/3) ?

The periodicity of f(x)= 1/4 cos((8pix)/3) is 3/4

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periodicity of f(x)= 1/4 cos((8pix)/3)

periodicity

f (x) = \frac{1}{4} cos (\frac{8 π x}{3})

\frac{3}{4}

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{8 π}{3}}

Simplify

= \frac{3}{4}

cos (3 x)

f (x) = \frac{2}{x + 3}

f (x) = \frac{x ^{2} - 9}{8 x ^{2}}

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

x^{3} + 8 x

What is the periodicity of f(x)= 1/4 cos((8pix)/3) ?
The periodicity of f(x)= 1/4 cos((8pix)/3) is 3/4