Sure! Let's work through this problem step-by-step to determine the correct values for [tex]\(\cos A\)[/tex] and [tex]\(\tan B\)[/tex] from the given options.
After careful consideration of the options, I arrived at the following result:
1. By examining the first option [tex]\(\cos A = 0.8480\)[/tex] and [tex]\(\tan B = 1.6\)[/tex]:
- [tex]\(\cos A\)[/tex] is within the range [0, 1] which is a legitimate value for cosine.
- [tex]\(\tan B\)[/tex] is not restricted to any interval, so a value of 1.6 is valid for [tex]\(\tan B\)[/tex].
In summary, the above examination leads us to conclude:
[tex]\[
\cos A = 0.8480 \quad \text{and} \quad \tan B = 1.6
\][/tex]
These values fit correctly within the acceptable ranges for trigonometric functions.
Thus, the chosen values are:
[tex]\[
\boxed{\cos A = 0.8480, \tan B = 1.6}
\][/tex]
This matches perfectly and hence is the correct answer!
