Question

7sin^2x+sinx-6=0

Does any one know the answer to this and how to solve???

Answer 1

7Sin^2x+(7-6)sinx-6=0

7sin^2x+7sinx-6sinx-6=0

7sin(sinx+1)-6(sinx+1)=0

(sinx+1)(7sin-6)=0

either, or,

sinx+1=0 7sin-6=0

sinx=-1 sin=6/7