What is the periodicity of f(x)=5cot(2x-pi/2) ?

The periodicity of f(x)=5cot(2x-pi/2) is pi/2

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periodicity of f(x)=5cot(2x-pi/2)

periodicity

f (x) = 5 cot (2 x - \frac{π}{2})

\frac{π}{2}

Decimal

1.57079 \dots

Solution steps

Periodicity of

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

Periodicity of

cot (x)

π

= \frac{π}{∣ 2 ∣}

Simplify

= \frac{π}{2}

What is the periodicity of f(x)=5cot(2x-pi/2) ?
The periodicity of f(x)=5cot(2x-pi/2) is pi/2