The problem asks for the value of $\tan 73.4^\circ$, and it requires rounding the result according to a provided table, which specifies significant digits based on the measurement precision:

1. For 1° precision, the result should be rounded to 2 significant digits.
2. For 0.1° precision, round to 3 significant digits.
3. For 0.01° precision, round to 4 significant digits.

Let's calculate $\tan 73.4^\circ$:

$\tan 73.4^\circ \approx 3.420$

Now, based on the rounding requirements:

• For 1° precision: The value rounded to 2 significant digits is 3.4.
• For 0.1° precision: The value rounded to 3 significant digits is 3.42.
• For 0.01° precision: The value rounded to 4 significant digits is 3.420.

Would you like more details or clarifications on this process?

Here are 5 related questions:

1. How is the tangent function defined in a right triangle?
2. How do you convert degrees to radians if needed for trigonometric calculations?
3. What is the tangent of 73.4° in radians?
4. How can you use a calculator to find other trigonometric functions like sine or cosine?
5. Why is rounding significant digits important in trigonometric calculations?

Tip: When using trigonometric functions, ensure your calculator is set to the correct mode (degrees or radians) based on the angle measurement provided.