The cosecant; secant and cotangent function is continuous in its domain.

Prove that tangent function is continous in its domain.

A logarithmic function is continuous in its domain.

Prove that cot x is continuous in its domain

The sine; cosine and (tangent) function is continuous everywhere (on domain).

Domain and Range of a function

Which one of the following functions is continuous everywhere in its domain but has atleast one point where it is not differentiable

Domain codomain and range of function

Domain of functions