To solve this problem, we need to determine the values of $A$ and $B$ based on the cosine function:

Step 1: Calculate $A$

• The input to the first function is $17^\circ$.
• The output is $A = \cos(17^\circ)$.

Using a calculator: $\cos(17^\circ) \approx 0.9563$ Rounded to two decimal places: $A = 0.96$

Step 2: Determine $B$

• For the second function, the output is $0.55$, and we need to find $B$ such that $\cos(B) = 0.55$.
• To find $B$, use the inverse cosine function: $B = \cos^{-1}(0.55)$

Using a calculator: $B \approx 56.57^\circ$ Rounded to two decimal places: $B = 56.57^\circ$

Final Results:

• $A = 0.96$
• $B = 56.57^\circ$

Let me know if you need further clarifications or additional details!

Here are 5 related questions to deepen your understanding:

1. How is the cosine function related to the sides of a right triangle?
2. What is the significance of using degrees versus radians in trigonometry?
3. How would you calculate $\sin(17^\circ)$ or $\tan(17^\circ)$?
4. What happens to the value of $\cos(x)$ as $x$ approaches $90^\circ$?
5. How can you verify the calculated value of $B$ using a unit circle?

Tip: Always ensure your calculator is set to the correct mode (degrees or radians) based on the problem's context!