Question

Question #f89e8

Answer 1

`cot^2x-cscx=1`

`=>csc^2x-1-cscx-1=0`

`=>csc^2x-cscx-2=0`

`=>csc^2x-2cscx+cscx-2=0`

`=>cscx(cscx-2)+1(cscx-2)=0`

`=>(cscx-2)(cscx+1)=0`

when `cscx-2=0`

`=>sinx=1/2=sin(pi/6)`

`=>x=npi+(-1)^npi/6" where "n inZZ`

when `cscx+1=0`

`=>sinx=-1=sin(-pi/2)`

`=>x=npi-(-1)^npi/2" where "n inZZ`