求(2sin80°-sin20°)\2sin70°的值?

2个回答

  • (2sin80-sin20)/2sin70

    =[2sin(60+20)-sin20]/2sin70

    =[2(sin60cos20+cos60sin20)-sin20]/2cos20

    =(2sin60cos20+2cos60sin20-sin20)/2cos20

    =(2sin60cos20+2×1/2sin20-sin20)/2cos20

    =(2sin60cos20+sin20-sin20)/cos20

    =(2sin60cos20)/2cos20

    =sin60

    =√3/2

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