化简:(sin(α-3π)*cos(-α))/(tan(α-5π)*cos^2(α-5π)*tan(4π-α))
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化简:(sin(α-3π)*cos(-α))/(tan(α-5π)*cos^2(α-5π)*tan(4π-α))
![化简:(sin(α-3π)*cos(-α))/(tan(α-5π)*cos^2(α-5π)*tan(4π-α))](/uploads/image/z/19134972-36-2.jpg?t=%E5%8C%96%E7%AE%80%3A%28sin%28%CE%B1-3%CF%80%29%2Acos%28-%CE%B1%29%29%2F%28tan%28%CE%B1-5%CF%80%29%2Acos%5E2%28%CE%B1-5%CF%80%29%2Atan%284%CF%80-%CE%B1%29%29)
tan(α-5π)*cos^2(α-5π)*tan(4π-α)= -tan^2α*cos^2α= -sin^2α
sin(α-3π)*cos(-α)= -sinα*cosα
原式= -sinα*cosα/(-sin^2α)= cotα
sin(α-3π)*cos(-α)= -sinα*cosα
原式= -sinα*cosα/(-sin^2α)= cotα
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