1) 4sin^2(x) = sin^2(x) = 3/sin(x) = ±√(3/4sin(x) = ±√3/2
So, x = π/3, 2π/3, 4π/3, 5π/3
2) cos(2x) - 6sin(x)cos(x) + 3 = arccos(-1cos(2x) - 6sin(x)cos(x) + 3 = cos(2x) - 6sin(x)cos(x) = π - 3
There isn't an exact solution available due to this being a transcendental equation.
1) 4sin^2(x) =
sin^2(x) = 3/
sin(x) = ±√(3/4
sin(x) = ±√3/2
So, x = π/3, 2π/3, 4π/3, 5π/3
2) cos(2x) - 6sin(x)cos(x) + 3 = arccos(-1
cos(2x) - 6sin(x)cos(x) + 3 =
cos(2x) - 6sin(x)cos(x) = π - 3
There isn't an exact solution available due to this being a transcendental equation.