解方程sin^2x-7sinxcosx+6cos^2x=0
问题描述:
解方程sin^2x-7sinxcosx+6cos^2x=0
答
sin^2x-7sinxcosx+6cos^2x=0
(sinx-6cosx)(sinx-cosx)=0
sinx=6cosx或sinx=cosx
tanx=6或tanx=1
x=k*pi+arctan6或x=k*pi+pi/4