√144*3 * √21 * √4*7=√432 * √21 * √28= √432*21*28=√254016= 504
3*2sin2x cos2x=-2sin^2 x *(sinx/cosx)
12sinx cosx(1-2sin^2 x)+2sin^3x /cosx=0; cosx≠0
12sinx cos^2 x-24sin^3 x cos^2x+2sin^3 x=0
2sinx(6cos^2 x -12sin^2 xc0s^2x+sin^2 x)=0
sinx=0 ili 6cos^2 x-12sin^2 x cos^2x+sin^2 x=0
x=πn 5cos^2 x-12sin^2 xcos^2 x+1=0
5cos^2 x -12*(1-cos^2 x)cos^2 x+1=0
12cos^4 x-7cos^2 x+1=0
t=cos^2 x; 12t^2-7t+1=0
D=49-48=1; t1=(7-1)/24=1/4t; t2=1/3
cos^2 x=1/4 ili cos^2 x=1/3
cosx=1/2 ili cosx=-1/2; cosx=1/√3 ili cosx=-1/√3
x=+-π/3+2πn ili x=+-(2π/3)+2πn; x=+-arccos(+-1/√3)+2πn что-то много корней! Проверьте
1/2* arcsin√3/2-2*arccos (-1/2)=1/2*π/3-2*2π/3=π/6-4π/3=-7π/6
5^(3x - 1) < 5^(2(x + 1))
5^(3x - 1) < 5 ^(2x+ 2)
3x - 1< 2x + 2
3x - 2x < 2 + 1
x < 3
x ∈ ( - ∞; 3)