en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(sec(x)-1)/(sec(x)+1)

Solution

f (x) = \frac{sec ( x ) - 1}{sec ( x ) + 1}

Solution

Period : 2 π

Domain : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range : 0 \leq f (x) < 1 or f (x) > 1

X Intercepts : (2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = π + 2 πn

Extreme Points : None

+1

Solution steps

Periodicity of

\frac{sec ( x ) - 1}{sec ( x ) + 1} : 2 π

Domain of

\frac{sec ( x ) - 1}{sec ( x ) + 1} : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range of

\frac{sec ( x ) - 1}{sec ( x ) + 1} : 0 \leq f (x) < 1 or f (x) > 1

Axis interception points of

\frac{sec ( x ) - 1}{sec ( x ) + 1} :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{sec ( x ) - 1}{sec ( x ) + 1} :

Vertical

: x = π + 2 πn

Extreme Points of

\frac{sec ( x ) - 1}{sec ( x ) + 1} :

None

Popular Examples

f (x) = 5 + 6 x + 3 x^{2}

f(w)=(cos(w))/2

f (w) = \frac{cos ( w )}{2}

f (m) = 2 m - 3

f(x)=(2x-4)/(x+3)

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

g(x)= 3/(2(x-1))

g (x) = \frac{3}{2 ( x - 1 )}

Frequently Asked Questions (FAQ)

What is the f(x)=(sec(x)-1)/(sec(x)+1) ?
The f(x)=(sec(x)-1)/(sec(x)+1) is