SOLUTION: Solve equation for all value of ø if ø measure in degrees es cos^2ø -5/2cosø -3/2=0

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Question 401631: Solve equation for all value of ø if ø measure in degrees
es
cos^2ø -5/2cosø -3/2=0

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve equation for all value of ø if ø measure in degrees
es
cos^2ø -(5/2)cosø -3/2 = 0
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Multiply thru by 2 to get:
2cos^2 - 5cos - 3 = 0
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Factor:
2cos^2-6cos+cos-3 = 0
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2cos(cos-3)+ (cos-3) = 0
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(cos-3)(2cos+1) = 0
cos(theta) = 3 or cos(theta) = -1/2
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cos= 3 is an extraneous solution.
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Solve cos(theta) = -1/2
theta = 120 degrees or theta = 240 degrees
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Cheers,
Stan H.
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