en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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)

Popular Examples

inverse of f(x)=5x^2-12 inverse

f (x) = 5 x^{2} - 12

simplify (-3.4)(6)simplify

(- 3.4) (6)

asymptotes of f(x)=((x^2-4))/((x^2+x-6))asymptotes

f (x) = \frac{( x ^{2} - 4 )}{( x ^{2} + x - 6 )}

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

f (x) = \frac{x ^{2}}{x ^{2} - 4}

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

f (x) = - 5 x - 6

Frequently Asked Questions (FAQ)

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