Question

How do you solve `csc^2 theta - csc theta = 0`?

Answer 1

`S={pi/2 +2pin}`

Explanation:

`csc theta(csc theta-1)=0`

`csc theta=0 or csc theta -1 =0`

`theta=csc^-1 0 or csc theta =1 ->theta=csc^-1(1)`

`theta=sin^-1(1/0) or theta=sin^-1(1/1)`

`theta=no solution, theta=pi/2 +2pin`

`S={pi/2 +2pin}`