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\°)=(10)/(38)`

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)=(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)((10)/(38))`

`x=cos^(-1)((10)/(38))`

`x=74.74\°`

The answer is the option "a"