Respuesta :

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

sin([tex]cos^{-1}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] )

using the sides of the 30- 60- 90 triangle

with legs 1, [tex]\sqrt{3}[/tex] and hypotenuse 2 , then

[tex]cos^{-1}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] = 30° and

sin30° = [tex]\frac{1}{2}[/tex]