Question

How do you simplify `sec^2xcot^2x`?

Answer 1

`csc^2(x)`

Explanation:

Convert to sin/cos and simplify.

`Sec^2(x)*cot^2(x)=1/cos^2(x)*cos^2(x)/Sin^2(x)`

The `Cos^2(x)` terms cancel out and we're left with
`1/sin^2(x)=csc^2(x)`