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Popular Calculus >

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{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < 2 π + 2 πn

X Intercepts : (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

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

Inflection Points : (\frac{3 π}{2} + 2 πn, 0)

+1

Interval Notation

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{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < 2 π + 2 πn

Axis interception points of

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

X Intercepts

: (\frac{3 π}{2} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Vertical

: x = \frac{π}{2} + 2 πn

Inflection Points of

\frac{cos ( x )}{1 - sin ( x )} : (\frac{3 π}{2} + 2 πn, 0)

Graph

Popular Examples

(\partial)/(\partial y)(6xy-2+10x^2y)

\frac{\partial}{\partial y} (6 x y - 2 + 10 x^{2} y)

derivative of ln(sin^3(x^2+7))

\frac{d}{d x} (ln (sin^{3} (x^{2} + 7)))

tangent of y^3+xy^2-61=x+3y^2,\at x=3 tangent of

y^{3} + x y^{2} - 61 = x + 3 y^{2}, at x = 3

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\int \frac{x ^{2}}{2 - x} d x

integral of cot(10x)csc^4(10z)

\int cot (10 x) csc^{4} (10 z)

Frequently Asked Questions (FAQ)

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