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

The f(θ)=(1+cos(θ)+sin(θ))/(1+cos(θ)-sin(θ)) is

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f(θ)=(1+cos(θ)+sin(θ))/(1+cos(θ)-sin(θ))

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

Period : 2 π

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

X Intercepts : (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : None

Interval Notation

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

Solution steps

Periodicity of

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

Domain of

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

Axis interception points of

\frac{1 + cos ( θ ) + sin ( θ )}{1 + cos ( θ ) - sin ( θ )} :

X Intercepts

: (\frac{3 π}{2} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{1 + cos ( θ ) + sin ( θ )}{1 + cos ( θ ) - sin ( θ )} :

None

Extreme Points of

\frac{1 + cos ( θ ) + sin ( θ )}{1 + cos ( θ ) - sin ( θ )} :

None

What is the f(θ)=(1+cos(θ)+sin(θ))/(1+cos(θ)-sin(θ)) ?
The f(θ)=(1+cos(θ)+sin(θ))/(1+cos(θ)-sin(θ)) is