Respuesta :
Important to note: sin2x = 2sinxcosx
Since we know that property, we can divide both sides by 2 to yield: sin2x/2 = sinxcosx
So, sin2x/2 = sqrt(3)/4
sin2x = 2sqrt(3)/4 = sqrt(3)/2
2x = arcsin (sqrt(3)/2) = 60, 120 in the domain [0, 360]
x = 30, 60
Since we know that property, we can divide both sides by 2 to yield: sin2x/2 = sinxcosx
So, sin2x/2 = sqrt(3)/4
sin2x = 2sqrt(3)/4 = sqrt(3)/2
2x = arcsin (sqrt(3)/2) = 60, 120 in the domain [0, 360]
x = 30, 60