What is the domain of csc(2x) ?

The domain of csc(2x) is pin<x< pi/2+pin\lor pi/2+pin<x<pi+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of csc(2x)

domain

csc (2 x)

πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Interval Notation

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

Solution steps

Take the denominator(s) of

csc (2 x)

and compare to zero:

x = πn, x = \frac{π}{2} + πn

Periodicity of

csc (2 x) : π

Combine period:

πn \leq x < π + πn

and undefined points.

The domain is

πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

f (x) = ∣ x - 1 ∣ - 1

\frac{( x ^{5} - 16 x )}{5 x ^{3} - 6 x ^{2} + x}

f (x) = ln (x - 2) - 1

\frac{6 x - 12}{( x - 6 ) ( x + 1 )}

f (x) = 2 (3)^{x + 2}

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