诗词来 问答 小学 数学 【求下列各三角函数值:(1).sin(-11π/6)(2).cos(-17π/3)(3).tan(-17π)/6)(4).tan(-31π/4)】
问题标题:
【求下列各三角函数值:(1).sin(-11π/6)(2).cos(-17π/3)(3).tan(-17π)/6)(4).tan(-31π/4)】
问题描述:
【求下列各三角函数值:(1).sin(-11π/6)(2).cos(-17π/3)(3).tan(-17π)/6)(4).tan(-31π/4)】
戎璐回答:
  Sin(-11/6π)   =sin(-π-5/6π)   =-sin(π+5/6π)   =-sinπcos(5/6π)-cosπsin(5/6π)   =1/2   (2)Cos(-17/3π)   =cos(17/3π)   =cos(4π+5/3π)   =cos(5/3π)   =cos(π+2/3π)   =-cos(2/3π)   =1/2   (3)Tan(-17/6π)   =-tan(2π+5/6π)   =-tan(5/6π)   =tan(π/6)   =√3/3   (4)Tan(-31/4π)   =-tan(8π-π/4)   =tan(π/4)   =1
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