[2sin130º+sin100º(1+根号3tan370º)]/根号(1+cos10º)
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[2sin130º+sin100º(1+根号3tan370º)]/根号(1+cos10º)
[2sin130º+sin100º(1+根号3tan370º)]/根号(1+cos10º)
[2sin130º+sin100º(1+根号3tan370º)]/根号(1+cos10º)
原式
=[2sin50+sin80(1+根号3tan10)】/根号(1+cos10)
=【2sin50+cos10[1+根号3(sin10/cos10)】/根号(1+cos10)
=【2sin50+cos10+根号3*sin10)】/根号(1+cos10)
=【2sin50+2(1/2cos10+根号3/2sin10)】/根号(1+cos10)
=【2sin50+2(sin30cos10+cos30sin10)】/根号(1+cos10)
=2(sin50+sin40)/根号(1+cos10)
=2(cos40+sin40)/根号(1+cos10)
=2根号2(sin45cos40+cos45sin45)/根号(1+cos10)
=2根号2sin95/根号(1+cos10)
=2根号2cos5/根号(1+cos10)
=2根号2*根号[(cos10+1)/2]/根号(1+cos10)
=2