化简cos^2B+cos^2(2/3Π-B) 答案是1-1/2sin(2B-Π/6)

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化简cos^2B+cos^2(2/3Π-B) 答案是1-1/2sin(2B-Π/6)
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化简cos^2B+cos^2(2/3Π-B) 答案是1-1/2sin(2B-Π/6)
化简cos^2B+cos^2(2/3Π-B) 答案是1-1/2sin(2B-Π/6)

化简cos^2B+cos^2(2/3Π-B) 答案是1-1/2sin(2B-Π/6)
cos²B+cos²(2/3Π-B)
=1/2(cos2B+1)+1/2[cos(4/3Π-2B)+1]
=1+1/2[cos2B+cos(4/3Π-2B)]
=1+1/2[2cos2/3Πcos(2B-2/3Π)]
=1-1/2cos(2B-2/3Π)
=1-1/2sin(2B-Π/6)