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

The periodicity of f(x)=4sec(6x-2pi)-12 is pi/3

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

periodicity

f (x) = 4 sec (6 x - 2 π) - 12

\frac{π}{3}

Decimal

1.04719 \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}{∣ 6 ∣}

Simplify

= \frac{π}{3}

What is the periodicity of f(x)=4sec(6x-2pi)-12 ?
The periodicity of f(x)=4sec(6x-2pi)-12 is pi/3