Answer:
0.866
Step-by-step explanation:
By definition
[tex]sin \theta = \frac{Opposite}{Hypotenuse}[/tex]
[tex]cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]
We know that [tex]sin \theta = 0.5[/tex]. Inverse of sine is arcsin, so, angle [tex]\theta[/tex] is computed as
[tex]\theta=arcsin(0.5)=30[/tex]
Therefore, cosine of [tex]\theta[/tex] is
cos (30°) = 0.866
