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

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

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

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

Period : π

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

X Intercepts : (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, - 1)

Asymptotes : Vertical x = \frac{π}{4} + πn

Inflection Points : (\frac{3 π}{4} + πn, 0)

Interval Notation

Solution steps

Periodicity of

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

Domain of

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

Axis interception points of

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

X Intercepts

: (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = \frac{π}{4} + πn

Inflection Points of

\frac{sin ( x ) + cos ( x )}{sin ( x ) - cos ( x )} : (\frac{3 π}{4} + πn, 0)

(1 + x^{3}) d y - x^{2} y d x = 0

x d y + y ln (y) d x = 0

\int \frac{2 x ^{5} + 1}{2 x - 2 x ^{5}} d x

\int x (x^{2} + 1)^{3} d x

x \to π lim (- 3 cos (6 x))

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