Respuesta :

[tex]\bf \cfrac{csc^2(x)}{cot(x)}=csc(x)sec(x)\\\\ -----------------------------\\\\ cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)} \qquad \qquad % cosecant csc(\theta)=\cfrac{1}{sin(\theta)}\\\\ -----------------------------\\\\ thus \\\\\\ \cfrac{\frac{1^2}{sin^2(x)}}{\frac{cos(x)}{sin(x)}}\implies \cfrac{1}{sin^2(x)}\cdot \cfrac{sin(x)}{cos(x)}\implies \cfrac{1}{sin(x)cos(x)} \\\\\\ \cfrac{1}{sin(x)}\cdot \cfrac{1}{cos(x)}[/tex]

and surely, you know what that is

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