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Popular >

periodicity of f(x)=csc(4x)

Solution

periodicity

f (x) = csc (4 x)

Solution

\frac{π}{2}

Solution steps

Periodicity of

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

Periodicity of

csc (x)

is

2 π

= \frac{2 π}{∣ 4 ∣}

Simplify

= \frac{π}{2}

Popular Examples

asymptotes of f(x)=(x^2+x-6)/(x^2-6x+8)asymptotes

f (x) = \frac{x ^{2} + x - 6}{x ^{2} - 6 x + 8}

asymptotes of f(x)=(-2x^2+14)/(x^2-49)asymptotes

f (x) = \frac{- 2 x ^{2} + 14}{x ^{2} - 49}

domain of f(x)=sqrt(36-x^2)+sqrt(x+1)domain

f (x) = 36 - x^{2} + x + 1

distance (1,7),(6,-5)distance

(1, 7), (6, - 5)

shift f(x)=sin(4x+2pi)shift

f (x) = sin (4 x + 2 π)

Frequently Asked Questions (FAQ)

What is the periodicity of f(x)=csc(4x) ?
The periodicity of f(x)=csc(4x) is pi/2