Решить тригонометрические уравнения
1) cos^2(x)+sinx-1=0
2) sin5x*cosx+sinx*cos5x=1
3) 3sin-9cosx=0
4) sin2x+sinx=0
5) 3sin^2(7/2x)-cos^2(7/2)x=-1/2
1) cos^2(x)+sinx-1=0
2) sin5x*cosx+sinx*cos5x=1
3) 3sin-9cosx=0
4) sin2x+sinx=0
5) 3sin^2(7/2x)-cos^2(7/2)x=-1/2
Answers & Comments
sin(5x+x)=1
sin6x=1
6x=pi/2+2pik
x=pi/12+pik/3
4)2sinxcosx+sinx=0
sinx(2cosx+1)=0
sinx=0 x=pik
cosx=-1/2 x=pi-pi/3=2pi/3