Question

How do you find the general solutions for `sinx+2tanx=0`?

Answer 1

Note that since `tanx=sinx/cosx`, `sinx = cosxtanx`

Explanation:

`sinx+2tanx=0`
`cosxtanx+2tanx=0`
`tanx(cosx+2)=0`
`cosx=-2` (no solutions) or `tanx=0 \Rightarrow x=kpi, k in ZZ`