What is the periodicity of f(x)=csc((3pi)/4 x) ?

The periodicity of f(x)=csc((3pi)/4 x) is 8/3

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periodicity of f(x)=csc((3pi)/4 x)

periodicity

f (x) = csc (\frac{3 π}{4} x)

\frac{8}{3}

Solution steps

Periodicity of

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

Periodicity of

csc (x)

2 π

= \frac{2 π}{\frac{3 π}{4}}

Simplify

= \frac{8}{3}

(8.5) (3.7)

f (x) = - 16 x^{2} + 48 x + 160

\frac{x ^{2} - 16}{4 x ^{2}}

y = \frac{x + 1}{x - 3}

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

What is the periodicity of f(x)=csc((3pi)/4 x) ?
The periodicity of f(x)=csc((3pi)/4 x) is 8/3