What is the domain of 1/2 tan(2x) ?

The domain of 1/2 tan(2x) is pi/2 n<= x< pi/4+pi/2 n\lor pi/4+pi/2 n<x< pi/2+pi/2 n

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of 1/2 tan(2x)

domain

\frac{1}{2} tan (2 x)

\frac{π}{2} n \leq x < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

Interval Notation

[\frac{π}{2} n, \frac{π}{4} + \frac{π}{2} n) \cup (\frac{π}{4} + \frac{π}{2} n, \frac{π}{2} + \frac{π}{2} n)

Solution steps

Take the denominator(s) of

\frac{1}{2} tan (2 x)

and compare to zero:

x = \frac{π}{4} + \frac{π}{2} n

Periodicity of

\frac{1}{2} tan (2 x) : \frac{π}{2}

Combine period:

\frac{π}{2} n \leq x < \frac{π}{2} + \frac{π}{2} n

and undefined points.

The domain is

\frac{π}{2} n \leq x < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

f (x) = - x + 1

f (x) = \frac{2}{x - 3} + 4

\frac{1}{3} arccos (\frac{x}{4} - 2)

What is the domain of 1/2 tan(2x) ?
The domain of 1/2 tan(2x) is pi/2 n<= x< pi/4+pi/2 n\lor pi/4+pi/2 n<x< pi/2+pi/2 n