What is the f(x)=(1+tan(x))/(sin(x)+cos(x)) ?

The f(x)=(1+tan(x))/(sin(x)+cos(x)) is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(1+tan(x))/(sin(x)+cos(x))

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

Period : 2 π

Domain : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{4} + 2 πn or \frac{3 π}{4} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < \frac{7 π}{4} + 2 πn or \frac{7 π}{4} + 2 πn < x < 2 π + 2 πn

Range : f (x) \leq - 1 or f (x) \geq 1

Y Intercepts : (0, 1)

Asymptotes : Vertical x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Extreme Points : Minimum (2 πn, 1), Maximum (π + 2 πn, - 1)

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, \frac{3 π}{4} + 2 πn) \cup (\frac{3 π}{4} + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, \frac{7 π}{4} + 2 πn) \cup (\frac{7 π}{4} + 2 πn, 2 π + 2 πn)

Range : (- \infty, - 1] \cup [1, \infty)

Solution steps

Periodicity of

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

Domain of

\frac{1 + tan ( x )}{sin ( x ) + cos ( x )} : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{4} + 2 πn or \frac{3 π}{4} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < \frac{7 π}{4} + 2 πn or \frac{7 π}{4} + 2 πn < x < 2 π + 2 πn

Range of

\frac{1 + tan ( x )}{sin ( x ) + cos ( x )} : f (x) \leq - 1 or f (x) \geq 1

Axis interception points of

\frac{1 + tan ( x )}{sin ( x ) + cos ( x )} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{1 + tan ( x )}{sin ( x ) + cos ( x )} :

Vertical

: x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Extreme Points of

\frac{1 + tan ( x )}{sin ( x ) + cos ( x )} :

Minimum

(2 πn, 1),

Maximum

(π + 2 πn, - 1)

y = (x + 9)^{2}

f (x) = 2 x^{3} - 9 x^{2} - 24 x + 20

f (x) = 2 + lo g_{2} (x)

f (x) = (x - 1)^{3} (x + 3)^{2}

g (x) = - 5 x + 2

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