Question

Find the missing value to the nearest hundredth.

Cos_=10/38

a.74.74
b.15.26
c.14.74
d.50.37

Answer 1

Answer: Option a

$cos(74.74\°)=\frac{10}{38}$

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:

$cos(x)=\frac{10}{38}$

now we must solve the equation for x

then we apply the inverse function of cos(x) on both sides of the equality

$cos^{-1}(cos(x))=cos^{-1}(\frac{10}{38})$

$x=cos^{-1}(\frac{10}{38})$

$x=74.74\°$

The answer is the option "a"