SOLUTION: solve over the interval (0-360 degrees): 2sin theta +3=-csc theta THANKS

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Question 732723: solve over the interval (0-360 degrees):
2sin theta +3=-csc theta
THANKS

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve over the interval (0-360 degrees):
2sin theta +3=-csc theta
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3sin(x)+ csc(x) = -3
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Mutiply thru by sin to get:
3sin^2(x) + 3sin(x) + -1 = 0
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sin(x) = [9+-sqrt(9-4*3*-1)]/6
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sin(x) = [9+-sqrt(21)]/6
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Usable solution:
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sin(x) = 0.7362
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x = 55.84 degrees or x = 180-55.84 = 124.16 Degrees
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Cheers,
Stan H.
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