SOLUTION: Use trigonometric identities to solve sin^2(θ)-cos^2(θ)=sin(θ) exactly for 0≤θ≤2pi. There are 3 answers.
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Question 1060237: Use trigonometric identities to solve sin^2(θ)-cos^2(θ)=sin(θ) exactly for 0≤θ≤2pi. There are 3 answers.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Use trigonometric identities to solve sin^2(θ)-cos^2(θ)=sin(θ) exactly for 0≤θ≤2pi. There are 3 answers.
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sin^2(t) - (1-sin^2(t)) = sin(t)
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2sin^2t - sin(t) - 1 = 0
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Factor::
(2sin(t)+1)(sin(t)-1) = 0
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sin(t) = -1/2 or sin(t) = 1
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t = (7/6)pi or t = (11/12)pi or t = pi/2
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Cheers,
Stan H.
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