Respuesta :

Answer:

third option

Step-by-step explanation:

we will use the Greek letter [tex]\alpha[/tex] for the calculations:

cot[tex]\alpha[/tex] = [tex]\frac{cos\alpha }{sin\alpha }[/tex]

so we have:

[tex]\frac{cot\alpha}{cos\alpha} = \frac{ \frac{cos\alpha}{sin\alpha}}{cos\alpha}[/tex] =

[tex]\frac{cos\alpha}{sin\alpha * cos\alpha} = \frac{1}{sin\alpha} = Csc\alpha[/tex]