meili 发表于 2022-10-27 15:01:51

求值:2sin50°+cos10°(1+根号3tan10°)/根号下1+2sin50°cos50°

<p>问题:求值:2sin50°+cos10°(1+根号3tan10°)/根号下1+2sin50°cos50°
<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">范明天的回答:<div class="content-b">网友采纳  2sin50°+cos10°(1+根号3tan10°)/根号下1+2sin50°cos50°  =(2sin50°+cos10°(1+√3*tan10°))/√(sin^250°+2sin50°cos50°+cos^250°)  =(2sin50°+cos10°+√3sin10°)/√√(sin50°+cos50°)^2  =(2sin50°+2sin(10°+30°))/(sin50°+cos50°)  =2(sin50°+sin40°)/(sin50°+cos50°)  =2(sin50°+cos50°)/(sin50°+cos50°)  =2<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">宋妍的回答:<div class="content-b">网友采纳  2(sin50°+sin40°)/(sin50°+cos50°)这一步怎么来的?没看懂!<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">范明天的回答:<div class="content-b">网友采纳  cos10°+√3sin10°=2(1/2cos10°+√3/2sin10°)=2(sin30°cos10°+cos30°sin10°)=2sin(30°+10°)=2sin40°
页: [1]
查看完整版本: 求值:2sin50°+cos10°(1+根号3tan10°)/根号下1+2sin50°cos50°