Step 1 :The problem is asking for the exact value of the expression \(\cot ^{-1}(0)\).
Step 2 :The cotangent function is undefined at 0, so \(\cot ^{-1}(0)\) does not exist.
Step 3 :Therefore, the correct choice is B. There is no solution.
Step 4 :\(\boxed{\text{There is no solution}}\)