Question

How do you simplify `(tan(x))^2 sin(x) csc(x)`?

Answer 1

`(tan(x))^2sin(x)csc(x) = (tan(x))^2`
`color(white)("XXXX")`provided `x != npi` for any `n epsilon ZZ`
`color(white)("XXXX")`otherwise the left side is undefined

Explanation:

This follows from the definition:
`color(white)("XXXX")` `csc(x) = 1/sin(x)`
So
`color(white)("XXXX")` `sin(x)csc(x) = 1`