What is the periodicity of f(x)= 3/2 cos((pix)/2) ?

The periodicity of f(x)= 3/2 cos((pix)/2) is 4

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periodicity of f(x)= 3/2 cos((pix)/2)

periodicity

f (x) = \frac{3}{2} cos (\frac{π x}{2})

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{π}{2}}

Simplify

= 4

What is the periodicity of f(x)= 3/2 cos((pix)/2) ?
The periodicity of f(x)= 3/2 cos((pix)/2) is 4