化简[2sin50°+sin10°(1+根号三tan10°)]*根号[2(sin80°)平方]拜托了各位 RT

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/12 16:30:37

化简[2sin50°+sin10°(1+根号三tan10°)]*根号[2(sin80°)平方]拜托了各位 RT
化简[2sin50°+sin10°(1+根号三tan10°)]*根号[2(sin80°)平方]拜托了各位
RT

化简[2sin50°+sin10°(1+根号三tan10°)]*根号[2(sin80°)平方]拜托了各位 RT
【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
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