SOLUTION: if i have a sin the equals .75 how does that equate to an angel of 37 degrees

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Question 407805: if i have a sin the equals .75 how does that equate to an angel of 37 degrees
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
sin%2875%29=x
Just draw the unit circle and joggle a bit then all becomes clear.
sin^1(0.75) means "what angle gives y+=+0.75" if you do the unit circle. You'll see that there is two+angles in the range 0+-+360 degree that gives you that value.
Which is correct depends on what the problem is, what physical situation it is and so on.
=>
x = sin^-1(0.75) = 48.6 _degrees
and

x = sin^-1(0.75) = 131.41_degrees

If you calculate sin%2848.6%29 it equals 0.750
If you calculate sin%28131.41%29 it equals 0.750