1
3cos^2(x)+4sin(x)=0
3*(1-sin^2(x)+4sin(x)=0
3sin^2(x)-4sin(x)-3=0
sin(x)=t
3t^2-4t-3=0
D=b^2-4ac=16+48=52
t1,2=(-b±sqrt(D))/2*a
t1,2=(4±sqrt(52)/6
t1=(4+sqrt(52))/6=(2+sqrt(13))/3
t2=(2sqrt(13))/3
1)sin(x) =(2+sqrt(13))/3
2)sin(x) =(2-sqrt(13))/3
x=(-1)^n*arcsin((2+sqrt(13))/3)+pi*n
x=(-1)^n*arcsin((2-sqrt(13))/3)+pi*n
2
log(1/2;x)>1
log(1/2;x)>log(1/2;1/2)
x<1/2 и x>0
1
3cos^2(x)+4sin(x)=0
3*(1-sin^2(x)+4sin(x)=0
3sin^2(x)-4sin(x)-3=0
sin(x)=t
3t^2-4t-3=0
D=b^2-4ac=16+48=52
t1,2=(-b±sqrt(D))/2*a
t1,2=(4±sqrt(52)/6
t1=(4+sqrt(52))/6=(2+sqrt(13))/3
t2=(2sqrt(13))/3
1)sin(x) =(2+sqrt(13))/3
2)sin(x) =(2-sqrt(13))/3
x=(-1)^n*arcsin((2+sqrt(13))/3)+pi*n
x=(-1)^n*arcsin((2-sqrt(13))/3)+pi*n
2
log(1/2;x)>1
log(1/2;x)>log(1/2;1/2)
x<1/2 и x>0