求值sin50°(1+根号3tan10°)求详细过程和文字说明
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求值sin50°(1+根号3tan10°)求详细过程和文字说明
![求值sin50°(1+根号3tan10°)求详细过程和文字说明](/uploads/image/z/15553191-39-1.jpg?t=%E6%B1%82%E5%80%BCsin50%C2%B0%281%2B%E6%A0%B9%E5%8F%B73tan10%C2%B0%29%E6%B1%82%E8%AF%A6%E7%BB%86%E8%BF%87%E7%A8%8B%E5%92%8C%E6%96%87%E5%AD%97%E8%AF%B4%E6%98%8E)
sin50°(1+根号3tan10°)
=sin50°(cos10°+根号3sin10°)/cos10°
=2sin50°sin40°/cos10°
=sin100°/cos10° 再答: =sin100°/cos10° =1
再答: =sin100°/cos10° =cos10°/cos10°=1
再答: sin50°(1+根号3tan10°) =sin50°(cos10°+根号3sin10°)/cos10° =2sin50°(1/2cos10°+根号3/2sin10°)/cos10° =2sin50°sin40°/cos10° =sin100°/cos10° =cos10°/cos10°=1
=sin50°(cos10°+根号3sin10°)/cos10°
=2sin50°sin40°/cos10°
=sin100°/cos10° 再答: =sin100°/cos10° =1
再答: =sin100°/cos10° =cos10°/cos10°=1
再答: sin50°(1+根号3tan10°) =sin50°(cos10°+根号3sin10°)/cos10° =2sin50°(1/2cos10°+根号3/2sin10°)/cos10° =2sin50°sin40°/cos10° =sin100°/cos10° =cos10°/cos10°=1
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