SOLUTION: Find sinX if sin2X = 2/3 with the 2x between 90 and 180 degrees.

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Question 1038415: Find sinX if sin2X = 2/3 with the 2x between 90 and 180 degrees.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
as far as i can tell, ......
sin(2x) = 2/3
this means that arcsin(2/3) = 2x.
using your scientific calculator, this means that 2x = 41.8103149 degrees.
since 2x is in the second quadrant, this means that 2x = 180 - 41.8103149 degrees.
that makes 2x = 138.1896851 degrees.
solve for x to get x = 69.09484255 degrees.
if this is correct, then sin(x) = sin(69.09484255) = .934172359.