What is the periodicity of f(x)= 8/9 cos((pix)/3) ?

The periodicity of f(x)= 8/9 cos((pix)/3) is 6

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periodicity of f(x)= 8/9 cos((pix)/3)

periodicity

f (x) = \frac{8}{9} cos (\frac{π x}{3})

6

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{π}{3}}

Simplify

= 6

What is the periodicity of f(x)= 8/9 cos((pix)/3) ?
The periodicity of f(x)= 8/9 cos((pix)/3) is 6