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Popular >

f(x)=(tan(x)+1)/(tan(x)-1)

Solution

f (x) = \frac{tan ( x ) + 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) < 1 or f (x) > 1

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

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

Extreme Points : None

+1

Interval Notation

Domain : [πn, \frac{π}{4} + πn) \cup (\frac{π}{4} + πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, π + πn)

Range : (- \infty, 1) \cup (1, \infty)

Solution steps

Periodicity of

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

Domain of

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

Axis interception points of

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

X Intercepts

: (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = \frac{π}{4} + πn

Extreme Points of

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

None

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Frequently Asked Questions (FAQ)

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