化简cos(80°)/1-cos(10°) =

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化简cos(80°)/1-cos(10°)=化简cos(80°)/1-cos(10°)=化简cos(80°)/1-cos(10°)=cos(80°)/1-cos(10°)=sin(10°)/{1-(1

化简cos(80°)/1-cos(10°) =
化简cos(80°)/1-cos(10°) =

化简cos(80°)/1-cos(10°) =
cos(80°)/1-cos(10°)=sin(10°)/{1-(1-2(sin5°)^2}=2sin5°cos5°/2(sin5°)^2=cot5°
如有不明白,

cos80=sin10=2sin5cos5
1-cos10=2cos²5
所以原式=2sin5cos5/(2cos²5)=sin5/cos5=tan5

cos(80°)/【1-cos(10°)】 =sin10°/{1-【1-2(sin5°)^2】}=2sin5°cos5°/(2sin5°*sin5°)=cot5°(=tan85°)