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Popular >

f(x)=|tan(x)|

Solution

f (x) = ∣ tan (x) ∣

Solution

Period : π

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

Range : f (x) \geq 0

X Intercepts : (πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{π}{2} + πn

Extreme Points : None

+1

Interval Notation

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

Range : [0, \infty)

Solution steps

Periodicity of

∣ tan (x) ∣ : π

Domain of

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

Range of

∣ tan (x) ∣ : f (x) \geq 0

Axis interception points of

∣ tan (x) ∣ :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

∣ tan (x) ∣ :

Vertical

: x = \frac{π}{2} + πn

Extreme Points of

∣ tan (x) ∣ :

None

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Frequently Asked Questions (FAQ)

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