https://file.aiquickdraw.com/mathbot/file/1726232928484fnujg752.jpg

It seems that the text extraction from the image wasn't successful. However, I can clearly observe the mathematical expressions from the image you provided. Let's break them down:

1. \(\sin^{-1}\left(\frac{2}{3}\right) = ?^\circ\)
2. \(\tan^{-1}(4) = 76^\circ\)
3. \(\cos^{-1}(0.1) = ?^\circ\)

I'll calculate the missing values for the inverse sine and inverse cosine functions in degrees.

Let's start with:

\[
\sin^{-1}\left(\frac{2}{3}\right)
\]
and
\[
\cos^{-1}(0.1)
\]It seems like I can't do more advanced data analysis right now. Please try again later.

In the meantime, I can guide you through the steps to calculate \(\sin^{-1}\left(\frac{2}{3}\right)\) and \(\cos^{-1}(0.1)\) manually or using a calculator. Would you like those steps?

Here are five related questions:
1. What is the general range of values for inverse sine and cosine functions?
2. Can you explain the relationship between sine, cosine, and their inverse functions?
3. What real-world applications use inverse trigonometric functions?
4. How can you convert radians to degrees in inverse trigonometric calculations?
5. How do you solve trigonometric equations involving inverse functions?

**Tip**: Always ensure your calculator is in the correct mode (degrees or radians) when working with trigonometric functions!

Solve the following inverse trigonometric functions: sin⁻¹(2/3), tan⁻¹(4), and cos⁻¹(0.1).

Learn how to solve inverse trigonometric functions, including sin⁻¹(2/3), tan⁻¹(4), and cos⁻¹(0.1), with a step-by-step guide. This topic covers key trigonometric concepts and formulas suitable for students in Grades 9-12.

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