Question

How to factor and simplify cot^2(x)+csc(x)-11 using fundamental indentities?

Answer 1

`cot^2(x)+csc(x)-11`

`=csc^2(x)-1+csc(x)-11`

`=csc^2(x)+csc(x)-12`

`=csc^2(x)+4csc(x)-3cscx-12`

`=csc(x)(cscx+4)-3(cscx+4)`

`=(cscx+4)(cscx-3)`