Answer:
[tex]\displaystyle \cos (G)=\frac{36}{85}[/tex]
Step-by-step explanation:
Recall that cosine is the ratio of the adjacent side to the hypotenuse:
[tex]\displaystyle \cos(G)=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
The hypotenuse is always the side opposite to the right angle. In this case, it is
85.
The adjacent side to G is 36.
Therefore:
[tex]\displaystyle \cos (G)=\frac{36}{85}[/tex]
For your other question, remember that in a right triangle, cosine is the ratio of the adjacent side to the hypotenuse.
As you know, the hypotenuse is always the longest side in a right triangle.
Therefore, the ratio of the adjacent side to the hypotenuse will never be greater than 1.
Since 85/77 is greater than 1, it is undefined.
The same applies to sine as well.
