meili 发表于 2022-10-27 15:58:18

利用和(差)角公式求下列各三角函数的值.1cos((-61/12)π)=____________2tan((35π)/12)=____________________

<p>问题:利用和(差)角公式求下列各三角函数的值.1cos((-61/12)π)=____________2tan((35π)/12)=____________________
<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">李延磊的回答:<div class="content-b">网友采纳  1、  原式=cos(-3*π+11π/12)  =cos(11π/12)  =cos(π/4+2π/3)  =cosπ/4cos2π/3-sinπ/4sin2π/3  =-(√6+√2)/4  2、  原式=tan(3π-π/12)  =tan(-π/12)  =tan(π/4-π/3)  =(tanπ/4-tanπ/3)/(1+tanπ/4tanπ/3)  =-2+√3
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