What is the periodicity of f(x)=4cos((8pix)/7) ?

The periodicity of f(x)=4cos((8pix)/7) is 7/4

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periodicity of f(x)=4cos((8pix)/7)

periodicity

f (x) = 4 cos (\frac{8 π x}{7})

\frac{7}{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{8 π}{7}}

Simplify

= \frac{7}{4}

3 x + 2 y = 14

f (x) = \frac{3 - x ^{2}}{3 x ^{2} - 5 x - 2}

f (x) = \frac{1}{x ^{2} - 2 x - 8}

f (x) = x^{4} - 4 x^{3}

f (x) = 3 x^{4} + 8 x^{3}

What is the periodicity of f(x)=4cos((8pix)/7) ?
The periodicity of f(x)=4cos((8pix)/7) is 7/4