Question

cot^2x-(1/sin^2x)
find the simplest expression

Answer 1

\[
\cot^2(x) = \frac{\cos^2(x)}{\sin^2(x)}
\]

Answer 2

\[\frac{ \cos^2x }{ \sin^2x }-\frac{ 1 }{ \sin^2x }=\frac{ \cos^2x -1}{ \sin^2x }=-\frac{ (1-\cos^2x) }{ \sin^2x }=-\frac{ \sin^2x }{ \sin^2x }=-1\]

@rl88

Answer 3

\[
x\ne \pi n,\quad n\in \mathbb{Z}
\]

Answer 4

thanks!

Answer 5

Medal? lol @rl88

Answer 6

umm...suree...i think i gave you one?? wasnt too sure how to do it!