What is the periodicity of f(x)=3cos((2pix)/5) ?

The periodicity of f(x)=3cos((2pix)/5) is 5

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periodicity of f(x)=3cos((2pix)/5)

periodicity

f (x) = 3 cos (\frac{2 π x}{5})

5

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{2 π}{5}}

Simplify

= 5

f (x) = (x - 9)^{2}

x^{2} + 3 x + 3

(2, 3), (5, 9)

x^{3} - 12 x^{2} + 45 x - 50

f (x) = 2 x^{2} - 5 x

What is the periodicity of f(x)=3cos((2pix)/5) ?
The periodicity of f(x)=3cos((2pix)/5) is 5