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

f (x) = 2 x^{3} - 9 x^{2} + 12 x

y = 4 x + c

\frac{x ^{2} + 4}{x}

f (x) = \frac{x ^{2}}{x ^{2} - 1}

(1, 0), (- 7, - 6)

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