Respuesta :

Answer:

[tex]\tan\left(\frac{\pi}{2} - x\right) = \cot x.[/tex]

Proof:

[tex]\tan\left(\frac{\pi}{2} - x \right) = \frac{\sin\left(\frac{\pi}{2} - x \right)}{\cos\left(\frac{\pi}{2} - x \right)} \\ = \frac{\cos x}{\sin x} \\ = \cot x[/tex]