SOLUTION: Find all solutions to the equation 9sin(x)=8−sin(x) in the interval 0≤x≤2π. If there is more than one answer, enter your answers as a comma separated list.
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Question 995823: Find all solutions to the equation 9sin(x)=8−sin(x) in the interval 0≤x≤2π. If there is more than one answer, enter your answers as a comma separated list.
x=
Found 2 solutions by ikleyn, stanbon:
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
9sin(x) = 8 - sin(x).
9sin(x) + sin(x) = 8,
10sin(x) = 8,
sin(x) = = .
x = arcsin(4/5). This angle is in the 1-st quadrant.
x = - arcsin(4/5). This angle is in the 2-nd quadrant.
There are no other solutions in this interval/segment [, ].
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all solutions to the equation 9sin(x)=8−sin(x) in the interval 0≤x≤2π. If there is more than one answer, enter your answers as a comma separated list.
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10*sin(x) = 8
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sin(x) = 0.8
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x = arcsin(0.8) = 53.13 degrees or x = 180-53.13 = 126.87 degrees
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Cheers,
Stan H.
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