en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

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 : - 1 < f (x) \leq 1

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (2 πn, 1)

+1

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, π + 2 πn) \cup (π + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Range : (- 1, 1]

Solution steps

Periodicity of

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

Domain of

\frac{1 + cos ( x )}{1 + sec ( x )} : 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{1 + cos ( x )}{1 + sec ( x )} : - 1 < f (x) \leq 1

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(2 πn, 1)

Popular Examples

y = \frac{x + 2}{x - 1}

g (x) = - x^{2}

f (x) = 9 x^{2} - 16

f (y) = y^{2} + 4

y = 3 x + 18

Frequently Asked Questions (FAQ)

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