[3sin^2 (a/2)-2sin(a/2)cos(a/2)+cos^2 (a/2)]/[tana+1/tana]

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[3sin^2 (a/2)-2sin(a/2)cos(a/2)+cos^2 (a/2)]/[tana+1/tana]
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[3sin^2 (a/2)-2sin(a/2)cos(a/2)+cos^2 (a/2)]/[tana+1/tana]
[3sin^2 (a/2)-2sin(a/2)cos(a/2)+cos^2 (a/2)]/[tana+1/tana]

[3sin^2 (a/2)-2sin(a/2)cos(a/2)+cos^2 (a/2)]/[tana+1/tana]
分子=3(1-cosa)/2-sina+(1+cosa)/2
=2-cosa-sina
分母=sina/cosa+cosa/sina
=(sin²a+cos²a)/sinacosa
=1/sinacosa
所以原式=sinacosa(2-cosa-sina)
=2sinacosa-sin²acosa-sinacos²a