What is the y= 1/(cot(x)+1)+1/(tan(x)+1) ?

The y= 1/(cot(x)+1)+1/(tan(x)+1) is

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y= 1/(cot(x)+1)+1/(tan(x)+1)

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

Period : π

Domain : πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < x < π + πn

Intercepts : None

Asymptotes : None

Interval Notation

Domain : (πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, \frac{3 π}{4} + πn) \cup (\frac{3 π}{4} + πn, π + πn)

Solution steps

Periodicity of

\frac{1}{cot ( x ) + 1} + \frac{1}{tan ( x ) + 1} : π

Domain of

\frac{1}{cot ( x ) + 1} + \frac{1}{tan ( x ) + 1} : πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < x < π + πn

Axis interception points of

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

None

Asymptotes of

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

None

y = x^{2} + x + 5

y = x^{2} + x + 6

f (x) = 1 - arctan (x)

y = - \frac{2}{3} sin (\frac{1}{3}) (x - \frac{3 π}{4}) + 2

f (x) = arctan (2 x) - ∣ x + 1 ∣