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Popular >

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

Solution

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

Solution

Period : 2 π

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

X Intercepts : (\frac{π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

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

Inflection Points : (\frac{π}{2} + 2 πn, 0)

+1

Interval Notation

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

Solution steps

Periodicity of

\frac{cos ( x )}{1 + sin ( x )} : 2 π

Domain of

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

Axis interception points of

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

X Intercepts

: (\frac{π}{2} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Vertical

: x = \frac{3 π}{2} + 2 πn

Inflection Points of

\frac{cos ( x )}{1 + sin ( x )} : (\frac{π}{2} + 2 πn, 0)

Popular Examples

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\int \frac{6 x ^{5} + x ^{\frac{1}{4}} - 3}{- 5 x ^{\frac{3}{2}}} d x

(dy)/(dx)=0.001y(100-y)

\frac{d y}{d x} = 0.001 y (100 - y)

(\partial)/(\partial x)(x^2y+y^3)

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area-x^2+1.907,0,0.266 area

- x^{2} + 1.907, 0, 0.266

derivative of ln((x+1)/(x-1))derivative of

ln (\frac{x + 1}{x - 1})

Frequently Asked Questions (FAQ)

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