SOLUTION: Find the exact value of x in the interval 0 <_ x<_ 360 that make each equation true. sqaur. rt. 3-sinx=sinx+ sq. rt. 12

Question 856742: Find the exact value of x in the interval 0 <_ x<_ 360 that make each equation true.
sqaur. rt. 3-sinx=sinx+ sq. rt. 12
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the exact value of x in the interval 0 <_ x<_ 360 that make each equation true.
sqaur. rt. 3-sinx=sinx+ sq. rt. 12
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sqrt(3) - sin(x) = sin(x) + sqrt(12)
2sin(x) = sqrt(3)-sqrt(12)
2sin(x) = sqrt(3) - 2sqrt(3)
2sin(x) = -sqrt(3)
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sin(x) = -sqrt(3)/2
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Reference angle is 60 degrees
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x = arcsin(-sqrt(3)/2) = 240 deg in QIII
x = arcsin(-sqrt(3)/2) = 300 deg in QIV
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Cheers,
Stan H.
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