What is the f(x)=(sin^3(x))/(cos^{22)(x)} ?

The f(x)=(sin^3(x))/(cos^{22)(x)} is

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f(x)=(sin^3(x))/(cos^{22)(x)}

f (x) = \frac{sin ^{3} ( x )}{cos ^{22} ( x )}

Period : 2 π

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

Range : - \infty < f (x) < \infty

X Intercepts : (2 πn, 0), (π + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Extreme Points : Minimum (2 πn, 0), Saddle (π + 2 πn, 0)

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Periodicity of

\frac{sin ^{3} ( x )}{cos ^{22} ( x )} : 2 π

Domain of

\frac{sin ^{3} ( x )}{cos ^{22} ( x )} : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range of

\frac{sin ^{3} ( x )}{cos ^{22} ( x )} : - \infty < f (x) < \infty

Axis interception points of

\frac{sin ^{3} ( x )}{cos ^{22} ( x )} :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{sin ^{3} ( x )}{cos ^{22} ( x )} :

Vertical

: x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Extreme Points of

\frac{sin ^{3} ( x )}{cos ^{22} ( x )} :

Minimum

(2 πn, 0),

Saddle

(π + 2 πn, 0)

f (x) = 7 x^{2} - 21 x + 36

f (x) = \frac{- x ^{2} + 3 x + 9}{4}

y = e^{a r c s i n (x)}

f (x) = 2 x^{3} - 6 x^{2} + 4 x - 9

f (x) = \frac{( x ^{2} - 9 )}{( x ^{2} - 5 x + 6 )}

What is the f(x)=(sin^3(x))/(cos^{22)(x)} ?
The f(x)=(sin^3(x))/(cos^{22)(x)} is