Prove that cot x is continuous in its domain

A logarithmic function is continuous in its domain.

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

Prove that tangent function is continous in its domain.

Prove that tangent function is continous in its domain.

Prove that f(x)=|x| is continuous at x=0

Statement -1 : y = [x] , ([.] denotes greatest integer function) is not a continuous function . Statement -2 : {x} ({.} denotes fractional fractional function) is discontinuous at integral points. Statement -3 : y = 7^(x) is continuous in its domain.

Statement -1 : y = [x] , ([.] denotes greatest integer function) is not a continuous function . Statement -2 : {x} ({.} denotes fractional fractional function) is discontinuous at integral points. Statement -3 : y = 7^(x) is continuous in its domain.

Show that tangent function is continuous in their domain

Prove that f (x) =|x| is continuous at x =0

Prove that f(x)=|sinx| is continuous at all points of its domain.