Respuesta :

Answer: 0.85 radians

Step-by-step explanation:

We have the following trigonometric expression:

[tex]sin^{-1}(0.75)=arcsin(0.75)[/tex]

The result of this calculation is:

[tex]sin^{-1}(0.75)=48.59\°[/tex] where the angle is in degrees

If [tex]360\°=2\pi rad[/tex] then:

[tex]48.59\°(\frac{2\pi rad}{360\°}=0.848 rad \approx 0.85 rad[/tex]  

Therefore the answer is 0.85 radians