What is the f(x)=(cos(x))/(csc(x)cot(x)) ?

The f(x)=(cos(x))/(csc(x)cot(x)) is

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f(x)=(cos(x))/(csc(x)cot(x))

f (x) = \frac{cos ( x )}{csc ( x ) cot ( x )}

Period : π

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

Range : 0 < f (x) < 1 or 0 < f (x) < 1

Intercepts : None

Asymptotes : None

Extreme Points : None

Interval Notation

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

Range : (0, 1) \cup (0, 1)

Solution steps

Periodicity of

\frac{cos ( x )}{csc ( x ) cot ( x )} : π

Domain of

\frac{cos ( x )}{csc ( x ) cot ( x )} : πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range of

\frac{cos ( x )}{csc ( x ) cot ( x )} : 0 < f (x) < 1 or 0 < f (x) < 1

Axis interception points of

\frac{cos ( x )}{csc ( x ) cot ( x )} :

None

Asymptotes of

\frac{cos ( x )}{csc ( x ) cot ( x )} :

None

Extreme Points of

\frac{cos ( x )}{csc ( x ) cot ( x )} :

None

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

f (x) = \frac{4 x ^{3} - 5}{x ^{2} - 3}

f (x) = x + 15 + x

f (n) = 9 n^{2} + 11

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