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Popular Functions >

y= 1/(tan(x)-1)

Solution

y = \frac{1}{tan ( x ) - 1}

Solution

Period : π

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

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

Y Intercepts : (0, - 1)

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

Extreme Points : None

+1

Interval Notation

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

Solution steps

Periodicity of

\frac{1}{tan ( x ) - 1} : π

Domain of

\frac{1}{tan ( x ) - 1} : πn \leq x < \frac{π}{4} + πn or \frac{π}{4} + πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range of

\frac{1}{tan ( x ) - 1} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{1}{tan ( x ) - 1} :

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{1}{tan ( x ) - 1} :

Vertical

: x = \frac{π}{4} + πn

Extreme Points of

\frac{1}{tan ( x ) - 1} :

None

Graph

Popular Examples

f(x)=3x^3-5x-10

f(-3)= 1/(3x^2-4)

f(x)=x^3+13x^2+20

f(x)=x^4-8x^3+22x^2-24x+1

longdivision ((2x^2-8))/((x^2+1))

Frequently Asked Questions (FAQ)

What is the y= 1/(tan(x)-1) ?
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