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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{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

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

Popular Examples

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

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

y = tan^{2} (x)

Frequently Asked Questions (FAQ)

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