Question

Simplify cot 0/ csc 0

Answer 1

`cos(x)`

Explanation:

Let's recall the definition of the trigonometric identities in place:

`cot(x)=(1)/(tan(x)) =(cos(x))/(sin(x))` and

`csc(x)=(1)/(sin(x))`

Then, we substitute and simplify as follows:

`(cot(x))/(csc(x))=cot(x)*(1)/(csc(x))=(cos(x))/(sin(x))*sin(x)=cos(x)`