What is the domain of f(x)=(cos(x))/(2+sin(x)) ?

The domain of f(x)=(cos(x))/(2+sin(x)) is -infinity <x<infinity

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domain of f(x)=(cos(x))/(2+sin(x))

domain

f (x) = \frac{cos ( x )}{2 + sin ( x )}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

What is the domain of f(x)=(cos(x))/(2+sin(x)) ?
The domain of f(x)=(cos(x))/(2+sin(x)) is -infinity <x<infinity