https://file.aiquickdraw.com/mathbot/file/17276543413873x7ofdzn.jpg

The problem is asking to find the value of \( s \) in the interval \( \left[0, \frac{\pi}{2}\right] \) such that:

\[
\tan(s) = 0.7998
\]

To solve for \( s \), you will take the inverse tangent (or arctangent) of 0.7998, which will give you the value of \( s \) in radians. Here's the process:

\[
s = \tan^{-1}(0.7998)
\]

Let me calculate that for you.The value of \( s \) that satisfies \( \tan(s) = 0.7998 \) in the interval \( \left[0, \frac{\pi}{2}\right] \) is approximately \( s = 0.6746 \) radians, rounded to four decimal places.

Would you like any further details or explanations?

Here are some related questions for practice:
1. What is the derivative of the tangent function?
2. How would you solve for \( s \) if the interval was \( [0, 2\pi] \)?
3. What is the value of \( \tan(s) \) when \( s = \frac{\pi}{4} \)?
4. How would you convert this angle \( s \) from radians to degrees?
5. What is the general solution for \( \tan(s) = 0.7998 \) on the real line?

**Tip:** When dealing with trigonometric functions, be mindful of the given interval as it affects the uniqueness of the solution.

Find the value of s in the interval [0, π/2] such that tan(s) = 0.7998.

Find the value of s in the interval [0, π/2] where tan(s) = 0.7998. This trigonometry problem involves using the inverse tangent function to solve for s, providing a solution in radians rounded to four decimal places.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation