Answer:
[tex]cos(x)[/tex]
Step-by-step explanation:
Let's recall the definition of the trigonometric identities in place:
[tex]cot(x)=\frac{1}{tan(x)} =\frac{cos(x)}{sin(x)}[/tex] and
[tex]csc(x)=\frac{1}{sin(x)}[/tex]
Then, we substitute and simplify as follows:
[tex]\frac{cot(x)}{csc(x)}=cot(x)*\frac{1}{csc(x)}=\frac{cos(x)}{sin(x)}*sin(x)=cos(x)[/tex]
