What is the domain of f(x)=cot(x) ?

The domain of f(x)=cot(x) is pin<x<pi+pin

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domain of f(x)=cot(x)

domain

f (x) = cot (x)

πn < x < π + πn

Solution steps

Take the denominator(s) of

cot (x)

and compare to zero:

x = πn

Periodicity of

cot (x) : π

Combine period:

πn \leq x < π + πn

and undefined points.

The domain is

πn < x < π + πn

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

y = tan (x)

x^{2} + 4

(0, - 1), (8, 7)

y = \frac{x - 1}{x ^{2} - 9}