Answer:
[tex]66.42^{\circ}[/tex]
Step-by-step explanation:
Let x represent the missing value for our given equation.
We have been given an equation [tex]\text{cos}?=\frac{2}{5}[/tex]. We are asked to find the missing value for our given equation.
[tex]\text{cos}(x)=\frac{2}{5}[/tex]
Now, we will solve for x using arccos as:
[tex]x=\text{cos}^{-1}(\frac{2}{5})[/tex]
[tex]x=66.421821521798^{\circ}[/tex]
Upon rounding our answer to nearest hundredth, we will get:
[tex]x\approx 66.42^{\circ}[/tex]
Therefore, the missing value for our given expression would be [tex]66.42^{\circ}[/tex].
