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sin75度等于

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

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

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

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

sin15°=cos75°=(√6-√2)/4 cos15°=sin75°=(√6+√2)/4 tan15°=cot75°=(√6-√2)/(√6+√2)=(√6-√2)^2/4=2-√3 tan75°=cot15°=(√6+√2)/(√6-√2)=(√6+√2)^2/4=2+√3

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。

Sin75º=sin(45º+30º)

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

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