What is the domain of y=csc(x)+1 ?

The domain of y=csc(x)+1 is 2pin<x<pi+2pin\lor pi+2pin<x<2pi+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of y=csc(x)+1

domain

y = csc (x) + 1

2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Interval Notation

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

Solution steps

Take the denominator(s) of

csc (x) + 1

and compare to zero:

x = 2 πn, x = π + 2 πn

Periodicity of

csc (x) + 1 : 2 π

Combine period:

2 πn \leq x < 2 π + 2 πn

and undefined points.

The domain is

2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

f (x) = - 2 x + 6

e^{x + 5}

e^{x + 4}

\frac{1}{2 x}

\frac{x ^{2} - 25}{3 x - 7}

What is the domain of y=csc(x)+1 ?
The domain of y=csc(x)+1 is 2pin<x<pi+2pin\lor pi+2pin<x<2pi+2pin