Sinx - ncosx = 0, solve for x

Original equation was (nwsinx - n^2wcosx) / (nsinx + cosx)^2 = 0, I worked it to get that ^^
...but I don't know what to do now.

Please help? :P

sin x = n cos x

cos x is not zero then sin x = 0 contradiction

so tan x = n

x = arctan (n) + k*pi