SOLUTION: Use trigonometric identities to solve cos(2θ)=sin(θ) exactly for 0≤θ≤2π.
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Question 1060187: Use trigonometric identities to solve cos(2θ)=sin(θ) exactly for 0≤θ≤2π.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Use trigonometric identities to solve cos(2θ)=sin(θ) exactly for 0≤θ≤2π.
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cos(2t) = 1 - 2sin^2(t)
--> 1 - 2sin^2(t) = sin(t)
2sin^2 + sin - 1 = 0
(2sin - 1)*(sin + 1) = 0
sin = 1/2 --> t = pi/6, 5pi/6
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sin = -1 --> t = 3pi/2
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