sin50°(1+根号3 tan10°)-cos20°/(cos80°根号下(1-cos20°)
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原式=sin50°(1+根号3
tan10°)-cos20°/(cos80°根号下(2sin210‘]
=cos40/(1+根号3sin10’/cos10)-cos20°/根号2sin210‘]
=cos40cos10/[cos10‘+根号3sin10’)-cos20°/根号2sin210‘]
=cos40cos10/[2(1/2cos10’+根号3/2*sin10’)-cos20°/根号2sin210‘]
=cos40cos10/2sin40’-cos20°/根号2sin210‘
=[cos40’cos10’]/2sin20cos20)-cos20°/根号2sin210‘
=[2cos220cos10-cos10]/2sin20cos20)-cos20°/根号2sin210‘
=[2cos220cos10-cos10]/2sin10cos10cos20-cos20°/根号2sin210‘
=cos20/sin10-1/2sin20-cos20°/根号2[1-cos20]
无法再化简了
tan10°)-cos20°/(cos80°根号下(2sin210‘]
=cos40/(1+根号3sin10’/cos10)-cos20°/根号2sin210‘]
=cos40cos10/[cos10‘+根号3sin10’)-cos20°/根号2sin210‘]
=cos40cos10/[2(1/2cos10’+根号3/2*sin10’)-cos20°/根号2sin210‘]
=cos40cos10/2sin40’-cos20°/根号2sin210‘
=[cos40’cos10’]/2sin20cos20)-cos20°/根号2sin210‘
=[2cos220cos10-cos10]/2sin20cos20)-cos20°/根号2sin210‘
=[2cos220cos10-cos10]/2sin10cos10cos20-cos20°/根号2sin210‘
=cos20/sin10-1/2sin20-cos20°/根号2[1-cos20]
无法再化简了
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