en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Period : 2 π

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

Range : f (x) \leq - 1 or f (x) \geq 1

Intercepts : None

Asymptotes : Vertical x = 2 πn, x = π + 2 πn

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

+1

Interval Notation

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

Range : (- \infty, - 1] \cup [1, \infty)

Solution steps

Periodicity of

\frac{1}{sin ^{3} ( x )} : 2 π

Domain of

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

Range of

\frac{1}{sin ^{3} ( x )} : f (x) \leq - 1 or f (x) \geq 1

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 2 πn, x = π + 2 πn

Extreme Points of

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

Minimum

(\frac{π}{2} + 2 πn, 1),

Maximum

(\frac{3 π}{2} + 2 πn, - 1)

Popular Examples

y= 4/(cos(x))+1/(tan(x))

y = \frac{4}{cos ( x )} + \frac{1}{tan ( x )}

y= 1/((x^2-1)(x^2+x+1))

y = \frac{1}{( x ^{2} - 1 ) ( x ^{2} + x + 1 )}

f(x)=(8x-sqrt(3))/(2x+sqrt(3))

f (x) = \frac{8 x - 3}{2 x + 3}

f(x)=3tan(0.7x)

f (x) = 3 tan (0.7 x)

f(x)=1.84x^{3000}

f (x) = 1.84 x^{3000}

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(sin^3(x)) ?
The f(x)= 1/(sin^3(x)) is