Question

How do you solve: sin^2x-3sinx=0? Would it be no solution because if you take sin out of the equation and you're left with sinx=3?

Answer 1

`x=kpi,kinZ`
Why should we take sinx out of the equation? It is possible that the quadratic equation will have two roots.

Explanation:

Here,
`sin^2x-3sinx=0`
`=>sinx(sinx-3)=0`
`=>sinx=0in[-1,1]orsinx=3!in[-1,1]`
`:.sinx=0=>x=kpi,kinZ`