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

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

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

periodicity

\frac{4 π}{3}

Decimal

4.18879 \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{3}{2}}

Simplify

= \frac{4 π}{3}

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