问题:【化简【2sin50°+sin10°(1+根号3tan10°)】乘根号下2(sin80°的平方)】
答案:↓↓↓ 董守斌的回答: 网友采纳 【2sin50+sin10(1+√3tan10)】*√(2(sin80)^2) =【2sin50+sin10(1+√3Sin10/Cos10)】*√(2(sin80)^2) =【2sin50+sin10(Cos10+√3Sin10)/Cos10)】*√(2(sin80)^2) =【2sin50+2sin10(sin30Cos10+cos30Sin10)/Cos10)】*√(2(sin80)^2) =【2sin50+2sin10sin40/Cos10)】*√(2(sin80)^2) =2【(sin50Cos10+sin10sin40)/Cos10】*√(2(sin80)^2) =2【sin60/Cos10】*√(2(sin80)^2) =2sin60/Cos10*√2*cos10 =2sin60*√2 =根号6 |