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Popular Functions >

f(x)=3tan(x)cos(x)cot(x)

Solution

f (x) = 3 tan (x) cos (x) cot (x)

Solution

Period : 2 π

Domain : 2 πn < x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range : - 3 < f (x) < 0 or - 3 < f (x) < 0 or 0 < f (x) < 3 or 0 < f (x) < 3

Intercepts : None

Asymptotes : None

Extreme Points : None

+1

Interval Notation

Domain : (2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, π + 2 πn) \cup (π + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Range : (- 3, 0) \cup (- 3, 0) \cup (0, 3) \cup (0, 3)

Solution steps

Periodicity of

3 tan (x) cos (x) cot (x) : 2 π

Domain of

3 tan (x) cos (x) cot (x) : 2 πn < x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range of

3 tan (x) cos (x) cot (x) : - 3 < f (x) < 0 or - 3 < f (x) < 0 or 0 < f (x) < 3 or 0 < f (x) < 3

Axis interception points of

3 tan (x) cos (x) cot (x) :

None

Asymptotes of

3 tan (x) cos (x) cot (x) :

None

Extreme Points of

3 tan (x) cos (x) cot (x) :

None

Graph

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Frequently Asked Questions (FAQ)

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