Finding Exact Value of sin^-1(-9): A Beginner's Guide

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SUMMARY

The discussion centers on the impossibility of finding the exact value of sin-1(-9) in degrees. The arcsine function, denoted as sin-1, only accepts input values within the range of -1 to 1. Therefore, any input outside this range, such as -9, is invalid. Participants emphasize the need to verify the question's validity with the educational authorities, as it contradicts the defined parameters of the arcsine function.

PREREQUISITES
  • Understanding of the arcsine function (sin-1)
  • Knowledge of the range of trigonometric functions
  • Basic familiarity with inverse functions
  • Experience with mathematical problem-solving in a university context
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  • Research the properties of the arcsine function and its domain
  • Study the range of trigonometric functions and their inverses
  • Learn about common mistakes in trigonometric equations
  • Explore how to validate mathematical problems in educational settings
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Students in mathematics, particularly those studying trigonometry, educators addressing common misconceptions, and anyone involved in academic problem-solving related to inverse functions.

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Homework Statement




How would I find the exact value of sin^-1 (-9) in degrees. I have no idea how to do this.
 
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zaddyzad said:

Homework Statement




How would I find the exact value of sin^-1 (-9) in degrees. I have no idea how to do this.

There's no such value. sin^(-1) only takes arguments between -1 and 1.
 
This is a question in my university webwork, so I don't know if they'd give a question that wouldn't have an answer.
 
Last edited:
zaddyzad said:
This is a question in my university webwork, so I don't know if they'd give a question that wouldn't have an answer.

There must be some mistake then. I'd speak to the authorities. sin^(-1) does mean arcsin, yes?
 
Last edited:

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