What is the domain of 4cot(2x)+3 ?

The domain of 4cot(2x)+3 is pi/2 n<x< pi/2+pi/2 n

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domain of 4cot(2x)+3

domain

\frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

Interval Notation

(\frac{π}{2} n, \frac{π}{2} + \frac{π}{2} n)

Solution steps

Take the denominator(s) of

4 cot (2 x) + 3

and compare to zero:

x = \frac{π}{2} n

Periodicity of

4 cot (2 x) + 3 : \frac{π}{2}

Combine period:

\frac{π}{2} n \leq x < \frac{π}{2} + \frac{π}{2} n

and undefined points.

The domain is

\frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

What is the domain of 4cot(2x)+3 ?
The domain of 4cot(2x)+3 is pi/2 n<x< pi/2+pi/2 n