Altruistic_Sock
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Okay, so i know that arcsine(root2/2) equals 45, but why does it not also 135 if it is within the limits of -1=<X=<1 and Y is positive in quadrant 2?
College trig inverse functions
- Thread starter Altruistic_Sock
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Hello, and welcome to FMH! 
In order for a function to have an inverse function, it must be one-to one. The sine function is periodic, and so it is not one to one over its entire domain, and so we must restrict its domain such that it is one-to-one. By convention, this restricted domain is:
[MATH]\left[-\frac{\pi}{2},\frac{\pi}{2}\right][/MATH]
In order for a function to have an inverse function, it must be one-to one. The sine function is periodic, and so it is not one to one over its entire domain, and so we must restrict its domain such that it is one-to-one. By convention, this restricted domain is:
[MATH]\left[-\frac{\pi}{2},\frac{\pi}{2}\right][/MATH]