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Popular >

f(x)=(cos(x)+1)/(sin^3(x))

Solution

f (x) = \frac{cos ( x ) + 1}{sin ^{3} ( x )}

Solution

Period : 2 π

Domain : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (\frac{2 π}{3} + 2 πn, \frac{4}{3 3}), Maximum (\frac{4 π}{3} + 2 πn, - \frac{4}{3 3})

+1

Interval Notation

Domain : (2 πn, π + 2 πn) \cup (π + 2 πn, 2 π + 2 πn)

Solution steps

Periodicity of

\frac{cos ( x ) + 1}{sin ^{3} ( x )} : 2 π

Domain of

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

Axis interception points of

\frac{cos ( x ) + 1}{sin ^{3} ( x )} :

None

Asymptotes of

\frac{cos ( x ) + 1}{sin ^{3} ( x )} :

None

Extreme Points of

\frac{cos ( x ) + 1}{sin ^{3} ( x )} :

Minimum

(\frac{2 π}{3} + 2 πn, \frac{4}{3 3}),

Maximum

(\frac{4 π}{3} + 2 πn, - \frac{4}{3 3})

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Frequently Asked Questions (FAQ)

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