化简[tan(2π-α)sin(-2π-α)cos(6π-α)]/[cos(α-π)sin(5π-α)]
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化简[tan(2π-α)sin(-2π-α)cos(6π-α)]/[cos(α-π)sin(5π-α)]
[tan(2π-α)sin(-2π-α)cos(6π-α)]/[cos(α-π)sin(5π-α)]
=[tan(2π-α)sin(4π-2π-α)cos(4π+2π-α)]/[cos(π-α)sin(4π+π-α)]
=[-tanα*sin(2π-α)cos(2π-α)]/[cos(π-α)sin(π-α)]
=[-tanα*(-sinα)cosα]/[-cosαsinα]
=-[tanα*sinαcosα]/[cosαsinα]
=-tanα
=[tan(2π-α)sin(4π-2π-α)cos(4π+2π-α)]/[cos(π-α)sin(4π+π-α)]
=[-tanα*sin(2π-α)cos(2π-α)]/[cos(π-α)sin(π-α)]
=[-tanα*(-sinα)cosα]/[-cosαsinα]
=-[tanα*sinαcosα]/[cosαsinα]
=-tanα
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