Answer: Option a
[tex]cos(74.74\°)=\frac{10}{38}[/tex]
Step-by-step explanation:
The missing term is the angle that goes in the argument of the cosine function.
Let's call this angle x.
So the equation is:
[tex]cos(x)=\frac{10}{38}[/tex]
now we must solve the equation for x
then we apply the inverse function of cos(x) on both sides of the equality
[tex]cos^{-1}(cos(x))=cos^{-1}(\frac{10}{38})[/tex]
[tex]x=cos^{-1}(\frac{10}{38})[/tex]
[tex]x=74.74\°[/tex]
The answer is the option "a"
