化简:[sin(2004π-α)cos(α-2005π)/cot(2003π-α)sin(α+3π)]+sin(α-π)
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化简:[sin(2004π-α)cos(α-2005π)/cot(2003π-α)sin(α+3π)]+sin(α-π)化简:[sin(2004π-α)cos(α-2005π)/cot(2003π-α
化简:[sin(2004π-α)cos(α-2005π)/cot(2003π-α)sin(α+3π)]+sin(α-π)
化简:[sin(2004π-α)cos(α-2005π)/cot(2003π-α)sin(α+3π)]+sin(α-π)
化简:[sin(2004π-α)cos(α-2005π)/cot(2003π-α)sin(α+3π)]+sin(α-π)
做这种题 要利用诱导公式 一定要熟背公式
有个口诀:奇变偶不变,符号看象限
(你们老师应该说过的)
sin(2004π-α)=sin(-α)=-sinα
cos(α-2005π)=cos(2005π-α)=cos(π-α)=-cosα
cot(2003π-α)=cot(π-α)=-cotα
sin(α+3π)=-sinα
sin(α-π)=-sinα
所以,原式=(sinαcosα/cotαsinα)-sinα=-1
化简:[sin(2004π-α)cos(α-2005π)/cot(2003π-α)sin(α+3π)]+sin(α-π)
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