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sin^2x + sin^2(x+pi/3) + sin^2(x-pi/3) = 3/2

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  • -5
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  • sin^2x + (sinx cospi/3 + cosx sinpi/3)^2 + (sinx cos pi/3 - cosx sinpi/3)^2
  • sin^2 x + (2sin^2x cos^2 pi/x) + (2cos^x sin^ pi/3)
  • sin^2 x + 1/2 sin^x + 3/2(1-sin^2 x)
  • 3/2 sin^2 x + 3/2 - 3/2 sin^ x
  • 3/2 = Answer :)
  • -14
  • (sinx cospi/3 + cosx sinpi/3)^2 + (sinx cos pi/3 - cosx sinpi/3)^2 =(2sin^2x cos^2 pi/x) + (2cos^x sin^ pi/3)
  • its a direct formula (a +b )^2 + (a-b)^2 = 2a^2 + 2b^2
  • -14
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