sin(2∏-α)tan(∏+α)/cos(∏-α)tan(3∏-α)

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sin(2∏-α)tan(∏+α)/cos(∏-α)tan(3∏-α)
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sin(2∏-α)tan(∏+α)/cos(∏-α)tan(3∏-α)
sin(2∏-α)tan(∏+α)/cos(∏-α)tan(3∏-α)

sin(2∏-α)tan(∏+α)/cos(∏-α)tan(3∏-α)
原式=(-sinα)tanα/(-cosα)(-tanα)
=-sinα/cosα
=-tanα