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1.(2cos10-sin20)/cos20=______

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1.(2cos10-sin20)/cos20=______
2.(1+cos20)/2sin20-sin10[(tan5)^-1 -tan5)=_________
1.(2cos10-sin20)/cos20=______
(2cos10-sin20)/cos20
=[cos10+(cos10-cos70)]/cos20
=[cos10+cos(40-30)-cos(40+30)]/cos20
=[cos10+2sin40*sin30]/cos20
=(cos10+sin40)/cos20
=[cos10+cos50]/cos20
=[cos(30-20) + cos(30+20)]/cos20
=2cos30*cos20/cos20
=2cos30
=√3
[(1+cos20°)/2sin20°]-sin10°(1/tan5°-tan5°)
=[(1+cos20°)/2sin20°]-sin10°(cot5°-tan5°)
=[(1+cos20°)/4sin10°cos10°]-sin10°(cot5°-tan5°)
=(2cos10°/4sin10°)-2sin5°cos5°(cot5°-tan5°)
=(cos10°/2sin10°)-2((cos5°)^2-(sin5°)^2)
=(cos10°/2sin10°)-2cos10°
=(cos10°-4sin10°cos10°)/2sin10°
=(sin80°-2sin20°)/2sin10°
=((sin80°-sin20°)-sin20°)/2sin10°
=(2cos50°sin30°-sin20°)/2sin10°
=(sin40°-sin20°)/2sin10°
={2cos30°sin10°)/2sin10°
=cos30°
=(根号3)/2