Question

How do you solve `sinxtanx-sinx=0`?

Answer 1

`x in {kpi, pi/4+kpi}, k in ZZ`

Explanation:

Factoring `sin(x)tan(x)sin(x)=0`

`sin(x) (tan(x)-1)=0`

`rarr{:(sin(x)=0," or ",tan(x)=1),(x=kpi" " kin ZZ,, x=pi/4+kpi" " kin ZZ):}`