What is the periodicity of f(x)=5cos((6pin)/(35)) ?

The periodicity of f(x)=5cos((6pin)/(35)) is 35/3

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periodicity of f(x)=5cos((6pin)/(35))

periodicity

f (x) = 5 cos (\frac{6 πn}{35})

\frac{35}{3}

Decimal

11.66666 \dots

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{6 π}{35}}

Simplify

= \frac{35}{3}

What is the periodicity of f(x)=5cos((6pin)/(35)) ?
The periodicity of f(x)=5cos((6pin)/(35)) is 35/3