What is the f(x)=(sin(x))/(1-cos(x)) ?

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

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

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

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)

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)

\frac{5}{1 + x ^{2}}

x = 2 3 y, x = 0, y = 7

\frac{( 2 s + 1 )}{s ^{2} + 2 s + 2}

\int - 5 sec^{2} (x) d x

f (x) = x^{3} - 25 x + 5, at x = 5