What is the f(θ)=(sin^3(θ))/(tan(θ)-sin(θ)) ?

The f(θ)=(sin^3(θ))/(tan(θ)-sin(θ)) is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(θ)=(sin^3(θ))/(tan(θ)-sin(θ))

f (θ) = \frac{sin ^{3} ( θ )}{tan ( θ ) - sin ( θ )}

Period : 2 π

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

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (\frac{2 π}{3} + 2 πn, - \frac{1}{4}), Minimum (\frac{4 π}{3} + 2 πn, - \frac{1}{4})

Interval Notation

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

Solution steps

Periodicity of

\frac{sin ^{3} ( θ )}{tan ( θ ) - sin ( θ )} : 2 π

Domain of

\frac{sin ^{3} ( θ )}{tan ( θ ) - sin ( θ )} : 2 πn < θ < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < θ < π + 2 πn or π + 2 πn < θ < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < θ < 2 π + 2 πn

Axis interception points of

\frac{sin ^{3} ( θ )}{tan ( θ ) - sin ( θ )} :

None

Asymptotes of

\frac{sin ^{3} ( θ )}{tan ( θ ) - sin ( θ )} :

None

Extreme Points of

\frac{sin ^{3} ( θ )}{tan ( θ ) - sin ( θ )} :

Minimum

(\frac{2 π}{3} + 2 πn, - \frac{1}{4}),

Minimum

(\frac{4 π}{3} + 2 πn, - \frac{1}{4})

f (x) = x^{3} - 5 x^{2} + 7 x - 1

f (x) = x^{3} - 9 x^{2} - 120 x + 6

f (x) = \frac{x ^{2} - 7}{x + 4}

f (x) = 2 - 3 x - 4 x^{2}

f (x) = 100 x^{100}

What is the f(θ)=(sin^3(θ))/(tan(θ)-sin(θ)) ?
The f(θ)=(sin^3(θ))/(tan(θ)-sin(θ)) is