What is the periodicity of f(x)=4sec(x/6-2pi)-12 ?

The periodicity of f(x)=4sec(x/6-2pi)-12 is 12pi

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periodicity of f(x)=4sec(x/6-2pi)-12

periodicity

12 π

Decimal

37.69911 \dots

Solution steps

Periodicity of

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

Periodicity of

sec (x)

2 π

= \frac{2 π}{\frac{1}{6}}

Simplify

= 12 π

What is the periodicity of f(x)=4sec(x/6-2pi)-12 ?
The periodicity of f(x)=4sec(x/6-2pi)-12 is 12pi