What is the periodicity of f(x)= 5/2 cos(x/2) ?

The periodicity of f(x)= 5/2 cos(x/2) is 4pi

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periodicity of f(x)= 5/2 cos(x/2)

periodicity

f (x) = \frac{5}{2} cos (\frac{x}{2})

4 π

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{1}{2}}

Simplify

= 4 π

(8, - 7), (9, 8)

(7, - 4), (9, 1)

f (x) = - (x + 1)^{3}

f (x) = \frac{x ^{2} - 9}{2 x ^{2} + 1}

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

What is the periodicity of f(x)= 5/2 cos(x/2) ?
The periodicity of f(x)= 5/2 cos(x/2) is 4pi