求值【2sin50+sin10(1+根号3*tan10)]*根号下2*sin80,

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求值【2sin50+sin10(1+根号3*tan10)]*根号下2*sin80,
求值【2sin50+sin10(1+根号3*tan10)]*根号下2*sin80,

求值【2sin50+sin10(1+根号3*tan10)]*根号下2*sin80,
【2sin50+sin10(1+根号3*tan10)]*根号下2*sin80
=【2sin50+sin10*(cos10+根号3*sin10)/cos10]*根号下2*sin80
=【2sin50+2sin10*cos50/cos10]*根号下2*sin80
=【(2sin50*cos10+2sin10*cos50)/cos10]*根号下2*sin80
=2sin60/cos10*根号下2*cos10
=根号6

【2sin50+sin10(1+根号3*tan10)]*根号下2*sin80
=【2sin50+sin10*(cos10+根号3*sin10)/cos10]*根号下2*sin80
=【2sin50+2sin10*cos50/cos10]*根号下2*sin80
=【(2sin50*cos10+2sin10*cos50)/cos10]*根号下2*sin80
=2sin60/cos10*根号下2*cos10
=根号6
我想应该是吧！