sin75度是多少

问题描述:

sin75度是多少

sin75度是sin(45+30)=sin45cos30+cos45sin30=0.9659258262890682867497431997289

sin75°=sin(30°+45°)=sin45°cos30°+cos45°sin30°=根号3/2+1/2

0.965925826

sin75度 = sin(45度+30度)
= 2^(1/2) / 2 * 3^(1/2)/2 + 2^(1/2) * 1/2
= (6^(1/2) + 2^(1/2))/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

4分之(根号6+根号2)