What is the periodicity of f(x)= 1/2 sec((pix)/2) ?

The periodicity of f(x)= 1/2 sec((pix)/2) is 4

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periodicity of f(x)= 1/2 sec((pix)/2)

periodicity

f (x) = \frac{1}{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

\frac{2 x ^{2} - 3 x - 20}{x - 5}

y = 0.25 x - 7, (- 6, 8)

f (x) = \frac{x ^{3} - 8}{x - 2}

lo g_{4} (x)

f (x) = 3 x + 2, x \leq - 1

What is the periodicity of f(x)= 1/2 sec((pix)/2) ?
The periodicity of f(x)= 1/2 sec((pix)/2) is 4