Question 1151358

{{{(csc(x))/(sin^2(x)+sec(x)+cos(x)^(2)-1)}}}


={{{(csc(x))/(highlight(sin^2(x))+sec(x)+highlight(cos(x)^(2))-1)}}}........use identity {{{sin^2(x) +cos(x)^(2)=1}}}


={{{csc(x)/(1+sec(x)-1)}}}


={{{csc(x)/sec(x)}}}


={{{cot(x)}}}