0.910-cos(10.741(6.629-0.0797))33+1.902-cos(10.741(6.629-0.0797))22+0.36(6.629)-
0.910-cos(10.741(5.576-0.0797))33+1.902-cos(10.741(5.576-0.0797))22+0.36(5.576) 

To solve the expression 

\[
0.910 - \cos(10.741(6.629 - 0.0797))33 + 1.902 - \cos(10.741(6.629 - 0.0797))22 + 0.36(6.629) -
0.910 - \cos(10.741(5.576 - 0.0797))33 + 1.902 - \cos(10.741(5.576 - 0.0797))22 + 0.36(5.576)
\]

we'll break it down into manageable parts and compute each term step by step.

### Step 1: Compute the cosine terms

1. **First term:** 
   \[
   \cos(10.741(6.629 - 0.0797))
   \]
   - Calculate \( 6.629 - 0.0797 = 6.5493 \)
   - Then \( 10.741 \times 6.5493 \)

2. **Second term:**
   \[
   \cos(10.741(5.576 - 0.0797))
   \]
   - Calculate \( 5.576 - 0.0797 = 5.4963 \)
   - Then \( 10.741 \times 5.4963 \)

### Step 2: Substitute the values into the expression

We will calculate each part using the results from Step 1.

### Step 3: Full evaluation

Now, let's compute this step by step.

1. Compute the cosine values and all the arithmetic operations.

I'll do these calculations now.The result of the expression is approximately **33.50**.

If you have any further questions or need more details about the calculations, feel free to ask! Here are some follow-up questions you might consider:

1. Would you like to see the step-by-step calculations for each cosine term?
2. Are you interested in exploring how changes in the input values affect the outcome?
3. Would you like to understand more about the cosine function and its properties?
4. Do you want to solve a similar expression with different values?
5. Are there any specific mathematical concepts you'd like to learn more about? 

**Tip:** When working with trigonometric functions, always ensure your calculator is set to the correct mode (degrees or radians) based on your inputs!

0.910-cos(10.741(6.629-0.0797))33+1.902-cos(10.741(6.629-0.0797))22+0.36(6.629)-0.910-cos(10.741(5.576-0.0797))33+1.902-cos(10.741(5.576-0.0797))22+0.36(5.576)

Explore the detailed solution for evaluating the complex expression involving cosine functions and arithmetic operations. This problem utilizes key trigonometric concepts and arithmetic techniques. Ideal for high school students in Grades 10-12.

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