SOLUTION: if you would be so kind- I had a question given to me by my teacher. the case is sin(x)=5/12. i was asked to figure out what x equals. i know that you can type into your calculato

Algebra ->  Trigonometry-basics -> SOLUTION: if you would be so kind- I had a question given to me by my teacher. the case is sin(x)=5/12. i was asked to figure out what x equals. i know that you can type into your calculato      Log On


   

Question 59174: if you would be so kind-
I had a question given to me by my teacher. the case is sin(x)=5/12. i was asked to figure out what x equals. i know that you can type into your calculator sin negative 1 (inverse of sin) times 5/12. but my problem is how do you get from sin(x)=5/12 to sin negative one times 5/12.i would appreciate if you can show me your work step by step
thanks, nathan
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I had a question given to me by my teacher. the case is sin(x)=5/12. i was asked to figure out what x equals. i know that you can type into your calculator sin negative 1 (inverse of sin) times 5/12. but my problem is how do you get from sin(x)=5/12 to sin negative one times 5/12.i would appreciate if you can show me your work step by step
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You are misinterpreting the meaning of sin^(-1)(5/12)
That symbolism means "the angle whose sin is 5/12".
So when you call up sin^-1(5/12) on your calculator it
gives you an answer of 24.62 degrees as long as you
are in degree MODE.
That is the answer to your problem.
If your calculator is in radian mode the calculator
will give you an answer of 0.4297... radians.
Hope this helps.
By the way, an alternate symbol for sin^-1 is arcsin.
Cheers,
Stan H.