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

f (x) = 4 sec (\frac{x}{6} - 2 π) - 12

12 π

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

f (x) = - 2 x - 5

ln (x^{2} + 1)

\frac{x ^{2} + 2 x - 15}{x ^{2} - 7 x + 6}

f (x) = 7 x - 6

\frac{- x + 1}{x + 4}

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