Write the trigonometric expression in terms of sine and cosine, and then simplify. cot()/sin()-csc()

First, we know that:

cot(x) = cos(x)/sin(x)

csc(x) = 1/sin(x)

I can't know for sure what is the exact equation, so I will assume two cases.

The first case is if the equation is:

if we replace cot(x) and csc(x) we get:

Now let's we can rewrite this as:

We can't simplify it more.

Second case:

If the initial equation was

Then if we replace cot(x) and csc(x)

This is equal to:

And we know that:

sin^2(x) + cos^2(x) = 1

Then:

sin^2(x) - 1 = -cos^2(x)

So we can replace that in our equation:

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