sin75度是多少
问题描述:
sin75度是多少
答
sin75度是sin(45+30)=sin45cos30+cos45sin30=0.9659258262890682867497431997289
答
sin75°=sin(30°+45°)=sin45°cos30°+cos45°sin30°=根号3/2+1/2
答
0.965925826
答
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
答
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
答
4分之(根号6+根号2)