sin10°-根号下1-sin²10°分之根号下1-2sin10°cos10°
来源:学生作业帮助网 编辑:作业帮 时间:2024/09/29 19:22:22
1+sin10=sin²5+cos²5+2sin5cos5=(sin5+cos5)²同理1--sin10=(cos5-sin5)²原式=sin5+cos5+co
将tan10°切化弦,后对1+根3*tan10°通分,分子运用和角公式即为2*sin(10+30)=2*cos50所以对2sin50°+sin10°(1+根3*tan10°)通分得分子是2sin50*
原式=√(sin²10+cos²10-2sin10cos10)÷[cos10-√(1-cos²10)]=√(cos10-sin10)²÷(cos10-√sin&
根号下(1-2sin10°cos10°)除以cos10°-根号下(1-cos^210°)=根号下(sin²10°-2sin10°cos10°+cos10°)除以cos10°-根号下(sin^
原式=[2sin50°+2sin10°*sin(10°+30°)/cos10°]*√2sin80°=[2cos40°+2sin10°sin40°/cos10°]*√2cos10°=2√2(cos40°
和差化积,如果不是数学,用计算器可以满足工程要求
1−2sin10°cos10°sin10°−1−sin210°=|sin10°−cos10°|sin10°−cos10°=cos10°−sin10°sin10°−cos10°=-1故答案为:-1
根号(1-2sin10cos10)/cos10-根号(1-sin^2100)=根号[(cos10-sin10)^2]/[cos10-根号(cos100)^2]=(cos10-sin10)/[cos10
原式=[2sin50°+sin10°(1+√3·tan10°)]√2cos10°=2√2sin50°cos10°+√2sin10°cos10°+√6sin^210°=2√2sin50°cos10°+√
根号下(1-2sin10°cos10°)/[cos10°-根号下(1-sin^280°)]=根号下(sin10°-cos10°)^2/[cos10°-根号下(cos^280°)]=|sin10°-co
[2sin50+sin10(1+根号3*tan10)]根号(sin^2(80))=[2sin50+sin10(1+根号3*sin10/cos10)]sin80=[2sin50+sin10(1+根号3*
(cos10°+根号下3sin10°)/根号下(1-cos80°)=2sin(10+30)度/根号下(1-(1-2sin^2(40))=2sin40度/(根号2*sin40度)=根号2
1+根号3tan10°=(cos10°+根号3sin10°)/cos10°=2(1/2×cos10°+1/2×根号3sin10°)/cos10°=2(cos60°cos10°+sin60°sin10°
原式=1/sin10-√3/cos10=(cos10-√3sin10)/sin10cos10=2(1/2cos10-√3/2*sin10)/sin10cos10=2(cos60cos10-sin60s
楼主,你计算的是正确的!原式=|sin5+cos5|-|sin5-cos5|=(sin5+cos5)-(cos5-sin5)=2sin5这样去绝对值是因为cos5>sin5.
分子=根号下(Cos10º-Sin10º)²分母=Sin10º-Cos10º所以比值为-1
√(sin²10°-2sin10°cos10°+cos²10°)=√(cos10º-sin10º)²=|cos10º-sin10º
[2sin50+sin10(1+根号3*tan10)]根号(sin^2(80))=[2sin50+sin10(1+根号3*sin10/cos10)]sin80=[2sin50+sin10(1+根号3*
sin10=2sin5cos5原式=√[(sin5)^2+(cos5)^2+2sin5cos5]+√[(sin5)^2+(cos5)^2-2sin5cos5]=√[(sin5+cos5)^2+√[(c