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Popular >

f(x)=(sin(x))/(1-cos(x))

Solution

f (x) = \frac{sin ( x )}{1 - cos ( x )}

Solution

Period : 2 π

Domain : 2 πn < x < 2 π + 2 πn

X Intercepts : (π + 2 πn, 0)

Asymptotes : Vertical x = 2 πn

Inflection Points : (π + 2 πn, 0)

+1

Interval Notation

Domain : (2 πn, 2 π + 2 πn)

Solution steps

Periodicity of

\frac{sin ( x )}{1 - cos ( x )} : 2 π

Domain of

\frac{sin ( x )}{1 - cos ( x )} : 2 πn < x < 2 π + 2 πn

Axis interception points of

\frac{sin ( x )}{1 - cos ( x )} :

X Intercepts

: (π + 2 πn, 0)

Asymptotes of

\frac{sin ( x )}{1 - cos ( x )} :

Vertical

: x = 2 πn

Inflection Points of

\frac{sin ( x )}{1 - cos ( x )} : (π + 2 πn, 0)

Popular Examples

f (x) = x^{2} + 3 x + 9

f (x) = 3 - x

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f (x) = {sin (x) : x < 0, 2 x : x \geq 0}

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f (x) = {x^{2} + a : x \leq 2, 2 x^{2} + \frac{a}{2} x - 4 : x > 2}

Frequently Asked Questions (FAQ)

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