What is the periodicity of f(x)=3cot(1/2 x)-2 ?

The periodicity of f(x)=3cot(1/2 x)-2 is 2pi

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periodicity of f(x)=3cot(1/2 x)-2

periodicity

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

2 π

Solution steps

Periodicity of

a \cdot cot (b x + c) + d = \frac{periodicity of cot ( x )}{∣ b ∣}

Periodicity of

cot (x)

π

= \frac{π}{\frac{1}{2}}

Simplify

= 2 π

\frac{3 x}{3 x - 1}

f (x) = 7 x^{3} - x

f (x) = t^{3} - 6 t^{2} + 9 t + 1

\frac{1 - 2 t}{4 + t}

f (x) = - x

What is the periodicity of f(x)=3cot(1/2 x)-2 ?
The periodicity of f(x)=3cot(1/2 x)-2 is 2pi