SOLUTION: FInd all solutions 2 cos 2θ − 1 = 0
Find all solutions of the equation.
θ =
(b) Find the solutions in the interval [0, 2π).
θ =
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-> SOLUTION: FInd all solutions 2 cos 2θ − 1 = 0
Find all solutions of the equation.
θ =
(b) Find the solutions in the interval [0, 2π).
θ =
Pleas
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(b) Find the solutions in the interval [0, 2π).
θ =
Please explain Thanks! Found 2 solutions by stanbon, t0hierry:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! FInd all solutions 2 cos 2θ − 1 = 0
Find all solutions of the equation.
cos(2t) = 1/2
2t = pi/3
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t = pi/6
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(b) Find the solutions in the interval [0, 2π).
t = pi/6 or t = -pi/6 because cos(t) = cos(-t)
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Cheers,
Stan H.
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You can put this solution on YOUR website! 2cos 2 theta = 1
cos 2 theta = 1/2 = 2 cos^2 theta - 1
2cos^2 theta = 3/2
cos^2 theta = 3/4
cos theta = (sqrt3)/2
theta = pi/6
other solution: 2 pi - pi/6 = 11pi/6
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