Question 410549
sin^-1 (.707) = 44.99134834 which is very close to 45 degrees.


I suspect that the problem started from:


sin(45) = .707106781


sin^(-1) (.707106781) is the same as arcsin (.707106781) which means:


find the angle whose sine is .707106781.


In your calculator, if you have a sine function, then you enter 45 and hit the sine function key to get .707106781.


to find the arcsin, or sin(-1), you enter .707106781 and then hit the 2d key and then the sine function key to get 45 degrees.


That's the way it works with a TI-30XA calculator.


If you are using a different calculator, then the method might be different.


you can also use sine tables and work backward.


sin^(-1) is not a formula like x^(-1) = 1/x.


sin^(-1) is a definition which means find the angle whose sine is .....