To convert \(348.07588^\circ\) to radians and then find the expression as requested, we'll follow the same process as before.

### Step-by-Step Solution

1. **Convert the degrees to radians** using the formula:

   \[
   \text{Radians} = 348.07588 \times \frac{\pi}{180}
   \]

2. **Simplify the multiplication:**

   \[
   \text{Radians} = \frac{348.07588 \pi}{180}
   \]

3. **Calculate the numerical value** of the radians:

Let's compute this:

\[
\frac{348.07588 \times \pi}{180}
\]

### Calculation

To find the numerical value in radians:

\[
\text{Radians} \approx 348.07588 \times \frac{\pi}{180} \approx 6.07391 \text{ radians}
\]

So, \(348.07588^\circ\) is approximately \(6.07391\) radians.

Would you like more details, or do you have any questions?

Here are 5 related questions for further practice:

1. What is the formula to convert radians back to degrees?
2. How would you find the radian measure for an angle of \(90^\circ\)?
3. Why are radians often preferred over degrees in calculus and trigonometry?
4. What is the radian equivalent of a full circle (360 degrees)?
5. How do you interpret an angle greater than \(2\pi\) radians in terms of a circle?

**Tip:** Radians provide a more natural way of describing angles in mathematics, especially in calculus, where the relationship between angle measures and arc lengths is straightforward.

Learn how to convert 348.07588 degrees to radians step-by-step and calculate the numerical value. This problem covers trigonometric concepts, including the formula for converting degrees to radians. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation