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

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

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

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

Period : 2 π

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

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

Asymptotes : None

Extreme Points : None

Interval Notation

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

Solution steps

Periodicity of

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

Domain of

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

Axis interception points of

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

X Intercepts

: (\frac{3 π}{2} + 2 πn, 0)

Asymptotes of

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

None

Extreme Points of

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

None

f (- 1) = x^{3} + x^{2}

f (x) = \frac{6 x}{x - 36}

f (x) = 1 - \frac{1}{3 x ^{\frac{2}{3}}}

f (x) = \frac{x}{x ^{3} + 8}

f (x) = - 762 x^{2} + 44875 x - 22531

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