bcdh.net
当前位置:首页 >> sin75 分数 >>

sin75 分数

Sin75º=sin(45º+30º)

sin15° =sin(45°-30°) =sin45°cos30°-cos45°sin30° =(根号6-根号2)/4 sin75° =sin(30°+45°) =1/2 x 根号2/2 +根号3/2 x 根号2/2 = (根号2+根号6)/4

解:sin75°+sin15° =2sin((75°+15°)/2)cos((75°-15°)/2) (应用和差化积公式) =2sin45°cos30° =2(√2/2)(√3/2) =√6/2。

sin(A+B) = sinAcosB+cosAsinB sin75°=sin(45°+30°)=sin45°cos30°+cos45°sin30°=(根号2)/2×(根号3)/2+(根号2)/2×1/2=0.9659258262890682867497431997289

-sin75°=-sin(45°+30°)=-[sin45°cos30°+cos45°sin30°)=-[(6)^(1/2)+(2)^(1/2)]/4

原式= sin(45º+30º)= sin45ºcos30º+cos45ºsin30º= √2/2*√3/2+ √2/2*1/2= (√6+√2)/4 sin75º等于 (√6+√2)/4。

运用和差化积公式: sin(A+B) = sinAcosB+cosAsinB 即:sin 75° = sin45°cos30° + cos45°sin30° 因此,sin75° = (√2/2)*(√3/2) + (√2/2)*(1/2) =(√2+√6)/4

sin75 =sin(45+30) =sin45cos30+cos45sin30 =√2/2 *√3/2+√2/2*1/2 =√6/4+√2/4

sin75° =sin(45°+30°) =sin45°cos30°+cos45°sin30° =(√6+√2)/4 . 很高兴为你解答, 如果对你有帮助还望采纳 谢谢! 祝学习进步! 望采纳谢谢! 谢谢!~!~!~!!!

sin75°=sin(45°+30°)=sin45°cos30°+sin30°cos45°=( √6+√2)/4 满意请采纳

网站首页 | 网站地图
All rights reserved Powered by www.bcdh.net
copyright ©right 2010-2021。
内容来自网络,如有侵犯请联系客服。zhit325@qq.com