What is the f(x)=(2sin(x)-sin(2x))/(1-cos(x)) ?

The f(x)=(2sin(x)-sin(2x))/(1-cos(x)) is

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f(x)=(2sin(x)-sin(2x))/(1-cos(x))

f (x) = \frac{2 sin ( x ) - sin ( 2 x )}{1 - cos ( x )}

Period : 2 π

Domain : 2 πn < x < 2 π + 2 πn

Range : - 2 \leq f (x) \leq 2

X Intercepts : (π + 2 πn, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} + 2 πn, 2), Minimum (\frac{3 π}{2} + 2 πn, - 2)

Interval Notation

Domain : (2 πn, 2 π + 2 πn)

Range : [- 2, 2]

Solution steps

Periodicity of

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

Domain of

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

Range of

\frac{2 sin ( x ) - sin ( 2 x )}{1 - cos ( x )} : - 2 \leq f (x) \leq 2

Axis interception points of

\frac{2 sin ( x ) - sin ( 2 x )}{1 - cos ( x )} :

X Intercepts

: (π + 2 πn, 0)

Asymptotes of

\frac{2 sin ( x ) - sin ( 2 x )}{1 - cos ( x )} :

None

Extreme Points of

\frac{2 sin ( x ) - sin ( 2 x )}{1 - cos ( x )} :

Maximum

(\frac{π}{2} + 2 πn, 2),

Minimum

(\frac{3 π}{2} + 2 πn, - 2)

What is the f(x)=(2sin(x)-sin(2x))/(1-cos(x)) ?
The f(x)=(2sin(x)-sin(2x))/(1-cos(x)) is