What is the periodicity of f(x)=-2sec((pix)/2) ?

The periodicity of f(x)=-2sec((pix)/2) is 4

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periodicity of f(x)=-2sec((pix)/2)

periodicity

f (x) = - 2 sec (\frac{π x}{2})

4

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{π}{2}}

Simplify

= 4

(2, 10), (8, 2)

f (x) = \frac{1}{ln ( x ^{2} - 1 )}

f (x) = (5 - e^{x})^{2}

5^{x}

f (x) = \frac{15}{x ^{2} + 5 x}

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