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

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

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periodicity of f(x)= 4/5 cos((pix)/2)

periodicity

f (x) = \frac{4}{5} 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) = \frac{( 9 - 3 x )}{( x - 5 )}

f (x) = u (x) = x + 9

f (x) = x^{2} - 7 x + 12

f (x) = \frac{3 + x}{4 - x}

(- 4, - 3), (5, 9)

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