Pug E.
asked • 11/23/20Solve the equation in the interval [0,2π]. If there is more than one solution write them separated by commas. (sin(x))2=1/36
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1 Expert Answer
take sq root of both sides which gives you sin(x)= 1/6 take inverse sin to solve for x
x= 9.6Degrees and 180-9.6 = 170.4
David C.
tutor
Hey Stephen K.--you forgot 2 more solutions: x = 180° + 9.6° = 189.6° and x = 360° degrees - 9.6° = 350.4°, since sin(x) = -1/6 is also a solution, since (-1/6)^2 also = +1/36.
Hey, Pug E.--you will then have to multiply each of these answers by π/180° to get the real x values between 0 and 2π.
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11/23/20
Stephen K.
tutor
you are correct
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11/23/20
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Mark M.
Do you mean sin^2 x = 1 / 36?11/23/20