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Popular Functions >

f(x)=csc(x)

Solution

f (x) = csc (x)

Solution

Period : 2 π

Domain : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range : f (x) \leq - 1 or f (x) \geq 1

Intercepts : None

Asymptotes : Vertical x = 2 πn, x = π + 2 πn

Extreme Points : Minimum (\frac{π}{2} + 2 πn, 1), Maximum (\frac{3 π}{2} + 2 πn, - 1)

+1

Interval Notation

Domain : (2 πn, π + 2 πn) \cup (π + 2 πn, 2 π + 2 πn)

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

Solution steps

Periodicity of

csc (x) : 2 π

Domain of

csc (x) : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range of

csc (x) : f (x) \leq - 1 or f (x) \geq 1

Axis interception points of

csc (x) :

None

Asymptotes of

csc (x) :

Vertical

: x = 2 πn, x = π + 2 πn

Extreme Points of

csc (x) :

Minimum

(\frac{π}{2} + 2 πn, 1),

Maximum

(\frac{3 π}{2} + 2 πn, - 1)

Graph

Popular Examples

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monotone f(x)=(x^2)/(x^2-4)

inverse of f(x)=-5x-6

Frequently Asked Questions (FAQ)

What is the f(x)=csc(x) ?
The f(x)=csc(x) is