【2sin50°+sin10°(1+根号3tan10°】*根号2sin²80°=

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【2sin50°+sin10°(1+根号3tan10°】*根号2sin²80°=

1+根号3tan10°
=(cos10°+根号3sin10°)/cos10°
=2(1/2×cos10°+1/2×根号3sin10°)/cos10°
=2(cos60°cos10°+sin60°sin10°)/cos10°
=2cos50°/cos10°
根号2sin²80°------------------做了好久,这个sin²80°在根号里面的,才做出来
=根号2cos²10°
=根号2cos10°
【2sin50°+sin10°(1+根号3tan10°】*根号2sin²80°
=【2sin50°+2sin10°cos50°/cos10°】*根号2cos10°
=2根号2(cos10°sin50°+sin10°cos50°)
=2根号2sin60°
=2根号2×1/2根号3
=根号6