2sinв степени2x-3sinx+1=0

[latex]2sin^2x-3sinx+1=0\sinx=t,tin[-1;1]\2t^2-3t+1=0\D=9-4*2=9-8=1\\t_1=frac{3+1}4=frac 44=1\\t_2=frac{3-1}4=frac{2}4=frac{1}2\\ left[egin{array}{ccc}sinx=1\sinx=frac{1}2end{array}ight= extgreater left[egin{array}{ccc}x=frac{pi}2+2pi n;nin Z\x=frac{pi}6+2pi n;nin Z\x=frac{5pi}6+2pi n;nin Zend{array}ight[/latex]