[2(cosa)2/sin2a]*[(1-cos2a)/cos2a]化简

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[2(cosa)2/sin2a]*[(1-cos2a)/cos2a]化简
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[2(cosa)2/sin2a]*[(1-cos2a)/cos2a]化简
[2(cosa)2/sin2a]*[(1-cos2a)/cos2a]化简

[2(cosa)2/sin2a]*[(1-cos2a)/cos2a]化简
原式
2cos²a (sin²a+cos²a)-(cos²a-sin²a)
= ————— * —————————————— (sin(2α)=2sinα·cosα,
2sina*cosa cos2a cos(2α)=(cosα)^2-(sinα)^2,
cosa 2sin²a (sinα)^2+(cosα)^2=1)
= ———— * ——————
sina cos2a
2sina*cosa
= ——————
cos2a
sin2a
= ————
cos2a
= tan2a