Question

Решить уравнение sin^2 x=3sinxcosx

Answer 1

$sin^2 x=3sinxcosx \ sin^2x-3sinxcosx=0 \ sinx(sinx-3cosx)=0 \ 1. sinx=0 \ x=pi n, n in Z \ 2. sinx-3cosx=0 (:cosx neq 0) \ tgx-3=0 \ tgx=3 \ x = arctg3 + pi n, n in Z$