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Popular >

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

Solution

periodicity

f (x) = 4 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

symmetry x^2+3 symmetry

x^{2} + 3

inverse of f(x)=(3x-2)/(x+5)inverse

f (x) = \frac{3 x - 2}{x + 5}

domain of (x-1)^2,x>= 1 domain

(x - 1)^{2}, x \geq 1

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

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

3 x = 9

Frequently Asked Questions (FAQ)

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