A trigonometric cotangent function is :
- continuous at π/3
- differentiable at π/4
Answer & explanation
Correct answer: option 3
Theorem : If a function is differentiable at a point, it is also continuous at the point.
We know, from the graphs of the cotangent function, that it is continuous from 0<x<nπ/2, n = 0,1,2,3...
Thus, option c is correct.