SOLUTION: Use a calculator to find all solutions in the interval (0, 2π). Round the answers to two decimal places. (Enter your answers as a comma-separated list. If there is no solution

Algebra ->  Trigonometry-basics -> SOLUTION: Use a calculator to find all solutions in the interval (0, 2π). Round the answers to two decimal places. (Enter your answers as a comma-separated list. If there is no solution      Log On


   

Question 691179: Use a calculator to find all solutions in the interval (0, 2π). Round the answers to two decimal places. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
sin x cos x = 0.078
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use a calculator to find all solutions in the interval (0, 2π). Round the answers to two decimal places. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
sin x cos x = 0.078
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Note: sin(2x) = 2sin(x)cos(x)
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Your Problem:
(1/2)sin(2x) = 0.078
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sin(2x) = 0.156
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2x = sin^-1(0.156)
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2x = 0.1566 radians
x = 0.0783 radians
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Cheers,
Stan H.
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