1) cosx + 3sin(x/2) = -12) cos^2(x+п/4) = 0,53) 2sin^2(x/2) +

1) cosx + 3sin(x/2) = -1
1-2sin(x/2)+3sin(x/2)+1=0
sinx/2=a
2a-3a-2=0
D=9+16=25
a1=(3-5)/4=-1/2sinx=-1/2x=-/6+2k U x=-5/6+2k,kz

2) cos^2(x+п/4) = 0,5
(1+cos(2x+/2))/2=1/2
1+cos(2x+/2)=1
cos(2x+/2)=0
-sin2x=0
2x=k
x=k/2,kz

3) 2sin^2(x/2) + 3sinx + 2 = 0
1-cosx+3sinx+2=0
3sinx-cosx+3=0
6sinx/2*cosx/2-cosx/2+sinx/2+3cosx/2+3sinx/2=0
4sinx/2+6sinx/2*cosx/2+2cosx/2=0/cosx
4tgx/2+6tgx/2+2=0
2tgx/2+3tgx/2+1=0
tgx/2=a
2a+3a+1=0
D=9-8=1
a1=(-3-1)/4=-1tgx/2=-1x/2=-/4+kx=-/22k,kz
a2=(-3+4)/4=1/4tgx/2=1/4x/2=arctg1/4+kx=2arctg1/4+2k,kz