Answer:
1
Explanation:
Cosine is a trigonometric function that is represented by adjacent divided by the hypotenuse. The side adjacent to angle A is AC and the hypotenuse is AB, so we can say cos(A) =
. We can do the same for angle B. The side adjacent to it is BC, and the hypotenuse is again AB. So, we can say
cos(B) =
. We are solving for
, so we can substitute the value of those two and solve:
![((AC)/(AB))/((BC)/(AB) )](https://img.qammunity.org/2022/formulas/mathematics/college/9hof1ownx7bpw8srdhvc6c5fo2h2i0t1nn.png)
![(AC)/(AB) * (AB)/(BC) = (AC)/(BC)](https://img.qammunity.org/2022/formulas/mathematics/college/yi3deuvbcpourp9flnawdkdyrwxes4wr0i.png)
AC is given to be 3 and BC is also 3, so
is
which is just 1.