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

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

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

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

Period : π

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

Range : f (x) < 0 or f (x) > 0

X Intercepts : (\frac{π}{2} + πn, 0)

Asymptotes : Vertical x = πn

Extreme Points : None

Interval Notation

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

Range : (- \infty, 0) \cup (0, \infty)

Solution steps

Periodicity of

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

Domain of

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

Range of

\frac{cos ( x ) + cot ( x )}{sin ( x ) + 1} : f (x) < 0 or f (x) > 0

Axis interception points of

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

X Intercepts

: (\frac{π}{2} + πn, 0)

Asymptotes of

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

Vertical

: x = πn

Extreme Points of

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

None

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