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Popular >

f(x)=(cot(x))/(1+csc(x))

Solution

f (x) = \frac{cot ( x )}{1 + csc ( x )}

Solution

Period : 2 π

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

Range : f (x) > - 1

Intercepts : None

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

Extreme Points : None

+1

Interval Notation

Domain : (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)

Range : (- 1, \infty)

Solution steps

Periodicity of

\frac{cot ( x )}{1 + csc ( x )} : 2 π

Domain of

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

Range of

\frac{cot ( x )}{1 + csc ( x )} : f (x) > - 1

Axis interception points of

\frac{cot ( x )}{1 + csc ( x )} :

None

Asymptotes of

\frac{cot ( x )}{1 + csc ( x )} :

Vertical

: x = \frac{3 π}{2} + 2 πn

Extreme Points of

\frac{cot ( x )}{1 + csc ( x )} :

None

Popular Examples

f(x)=x^4+3x^3-12x^2+2x-1

f (x) = x^{4} + 3 x^{3} - 12 x^{2} + 2 x - 1

f (m) = m^{2} + 4 m - 21

f (x) = x^{2} - 10 x - 1

f(x)= 5/10 x^{(10/5)}+1/4 x^{(-8)}

f (x) = \frac{5}{10} x^{(\frac{10}{5})} + \frac{1}{4} x^{(- 8)}

P(x)=3x^3+41x^2+41x+27

P (x) = 3 x^{3} + 41 x^{2} + 41 x + 27

Frequently Asked Questions (FAQ)

What is the f(x)=(cot(x))/(1+csc(x)) ?
The f(x)=(cot(x))/(1+csc(x)) is