Question

cosxsinx+ sinx=0

Answer 1

\[=\sin(x)(\cos(x)+1)=0 \implies \sin(x)=0; \cos(x)=-1\]\[\implies x = n \pi; x=(2m+1) \pi \]
But since n pi includes all the (2m+1)'s, I think you can just write it as n pi.

Answer 2

thank you