Question

How do you simplify `csc^4(x)-cot^4(x)`?

Answer 1

`f(x) = 1/sin^4 x - cos^4x/sin^4 x = (1 - cos^4 x)/sin^4 x`=

`= [(1 - cos^2 x)(1 + cos^2 x)]/(sin^4 x)`=`(1 +cos ^2 x)/sin^2 x`