https://file.aiquickdraw.com/mathbot/file/1725467916849otrgf3gd.jpg

The equation in the image is:

\[
-y = \sin^{-1}(x)
\]

This is the inverse sine function, also known as the arcsine function. The equation can be rewritten as:

\[
y = -\sin^{-1}(x)
\]

This means that \( y \) is equal to the negative of the arcsine of \( x \).

Would you like more details on how to solve for \( y \), or on the properties and graph of this function? Let me know if you have any questions.

Here are some related questions:
1. What is the domain and range of the function \( y = -\sin^{-1}(x) \)?
2. How does the graph of \( y = -\sin^{-1}(x) \) compare to the graph of \( y = \sin^{-1}(x) \)?
3. Can you express \( y = -\sin^{-1}(x) \) in terms of a trigonometric function of an angle?
4. What is the derivative of \( y = -\sin^{-1}(x) \) with respect to \( x \)?
5. What is the integral of \( y = -\sin^{-1}(x) \) with respect to \( x \)?

**Tip:** The arcsine function \( \sin^{-1}(x) \) returns the angle whose sine is \( x \), with the angle measured in radians.

Explore how to solve the equation y = -sin^(-1)(x) by understanding inverse trigonometric functions, specifically the arcsine function. This problem is suitable for students in Grades 10-12 and covers the key concepts of trigonometric functions and their inverses.

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