結果 : prove that 1 cos 2x 2 sin 2 x
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prove `sin^2 x = (1-cos2x)/2`

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cos 2x = 1 - 2sin^2 x

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proof that sin^2(x)=(1-cos2x)/2 || 1-cos2x=2sin^2 x

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"Visualizing the Identity: Understanding sin⁡2x+cos⁡2x=1\sin^2 x + \cos^2 x = 1,sin2x+cos2x=1

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1 - cos x = 2sin^2(x/2)

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Prove that cos2x = cos^2x-sin^2x = 2cos^2x-1 = 1-2sin^2x = (1-tan^2x)/(1+tan^2x).

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