What is the periodicity of f(x)=cos((4x)/3) ?

The periodicity of f(x)=cos((4x)/3) is (3pi)/2

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periodicity of f(x)=cos((4x)/3)

periodicity

f (x) = cos (\frac{4 x}{3})

\frac{3 π}{2}

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{4}{3}}

Simplify

= \frac{3 π}{2}

y = 2 + x^{2} - 4 x

f (x) = 3 lo g_{2} (- x) - 9

f (x) = \frac{x ^{3} - 3 x ^{2} + 1}{x}

y = tan (- x)

y = x (x + 6)

What is the periodicity of f(x)=cos((4x)/3) ?
The periodicity of f(x)=cos((4x)/3) is (3pi)/2