Question

Solve cot^2 x -csc x -1=0

Answer 1

sin^2 +cos^2 =1
(sin^2)/(sin^2) + (cos^2)/(sin^2) =1/(sin^2)
cot^2=csc^2-1

cot^2 x -csc x -1=0
csc^2-1 -csc x -1=0
csc^2 -csc -2=0
(cscx-2)(cscx+1)=0
cscx =2 (rej) or cscx=-1
x can then be solved