Math Problem Statement
-y = sin^(-1)(x)
Solution
The equation in the image is:
This is the inverse sine function, also known as the arcsine function. The equation can be rewritten as:
This means that is equal to the negative of the arcsine of .
Would you like more details on how to solve for , or on the properties and graph of this function? Let me know if you have any questions.
Here are some related questions:
- What is the domain and range of the function ?
- How does the graph of compare to the graph of ?
- Can you express in terms of a trigonometric function of an angle?
- What is the derivative of with respect to ?
- What is the integral of with respect to ?
Tip: The arcsine function returns the angle whose sine is , with the angle measured in radians.
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Math Problem Analysis
Mathematical Concepts
Inverse Trigonometric Functions
Arcsine Function
Equation Manipulation
Formulas
y = -sin^(-1)(x)
Theorems
-
Suitable Grade Level
Grades 10-12