College

Evaluate the expression:

[tex]
\[
\frac{28}{28} + 8 \cdot \tan(4) + 4
\]
[/tex]

Given that [tex] x = 97.6 [/tex].

Answer :

To solve the problem, let's go through the calculations step by step:

1. Calculate [tex]\(\frac{28}{28}\)[/tex]:
- [tex]\(\frac{28}{28}\)[/tex] simplifies to 1 because any number divided by itself equals 1.

2. Evaluate [tex]\(8 \cdot \tan(4)\)[/tex]:
- To do this, we first need to find [tex]\(\tan(4)\)[/tex], assuming the angle is in radians since it’s not specified as degrees. In mathematics, if not specified, angles are often assumed to be in radians.
- Using a calculator, [tex]\(\tan(4 \text{ radians})\)[/tex] is approximately 1.1578.
- Then, multiply this value by 8:
[tex]\[
8 \cdot 1.1578 \approx 9.2626
\][/tex]

3. Add the results:
- Now, add the result from step 1 and step 2:
[tex]\[
1 + 9.2626 = 10.2626
\][/tex]

Therefore, the calculated result is approximately 10.26. Just remember that this outcome is based on the assumption that the angle for the tangent function is given in radians.

Other Questions