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

The domain of f(x)=tan(1/2 x) 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 f(x)=tan(1/2 x)

domain

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

2 πn \leq x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Interval Notation

Solution steps

Take the denominator(s) of

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

and compare to zero:

x = π + 2 πn

Periodicity of

tan (\frac{1}{2} x) : 2 π

Combine period:

2 πn \leq x < 2 π + 2 πn

and undefined points.

The domain is

2 πn \leq x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

\frac{x ^{2} - 2 x - 48}{x - 1}

f (x) = 3 x^{2} + 13 x + 14

\frac{2 x - 3}{x - 2}

f (x) = 1 - 2 cos (\frac{x}{3} + \frac{2 π}{3})

f (x) = 11 - 2 x

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