Respuesta :

[tex]\cot{x}=0 \\ \\ \frac{\cos{x}}{\sin{x}} =0 \\ \\\cos{x}=0 \\ \\ x= k\pi, k \in Z[/tex]

The amplitude does not affect the zeroes of cotangent function.

[tex]A\cot{x}=0 \Leftrightarrow \cot{x}=0[/tex]