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

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

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

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

Period : 2 π

Domain : 2 πn \leq x < \frac{2 π}{3} + 2 πn or \frac{2 π}{3} + 2 πn < x < \frac{4 π}{3} + 2 πn or \frac{4 π}{3} + 2 πn < x < 2 π + 2 πn

X Intercepts : (2 πn, 0), (π + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} + 2 πn, 1), Minimum (\frac{3 π}{2} + 2 πn, - 1)

Interval Notation

Domain : [2 πn, \frac{2 π}{3} + 2 πn) \cup (\frac{2 π}{3} + 2 πn, \frac{4 π}{3} + 2 πn) \cup (\frac{4 π}{3} + 2 πn, 2 π + 2 πn)

Solution steps

Periodicity of

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

Domain of

\frac{sin ( 2 x ) + sin ( x )}{2 cos ( x ) + 1} : 2 πn \leq x < \frac{2 π}{3} + 2 πn or \frac{2 π}{3} + 2 πn < x < \frac{4 π}{3} + 2 πn or \frac{4 π}{3} + 2 πn < x < 2 π + 2 πn

Axis interception points of

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

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(\frac{π}{2} + 2 πn, 1),

Minimum

(\frac{3 π}{2} + 2 πn, - 1)

f (x) = \frac{- 4 x + 12}{2 x ^{2} - x - 15}

f (z) = e^{2 z}

y = - \frac{1}{5} x - 2

f (x) = \frac{2 x + 1}{x - 4}

f (x) = \frac{3}{x - 8}

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