The function
.
Theorem :
\Any trigonometric function is continuous at every number on its domain.
\
Consider
and
.
The domain of the trigonometric function
is
and it is continuous in its domain.
The domain of polynomial function
is
and it is continuous in its domain.
Domain :
\All possible values of
is the domain of the function.
The domain of
is
.
The function
is continuous at every number in its domain.
Domain of the function
is
.
Domain of the function is
.