化简sin50(1+根号3*tan10)

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化简sin50(1+根号3*tan10)

化简sin50(1+根号3*tan10)
化简sin50(1+根号3*tan10)

化简sin50(1+根号3*tan10)
sin50(1+√3*tan10)
= sin50(1 + √3 sin10/cos10)
= (sin50/cos10)(cos10 + √3sin10)
= 2(sin50/cos10)(sin30cos10 + cos30sin10)
= 2(sin50/cos10)sin(30+10)
= 2sin50*sin40/cos10
= 2sin50*cos50/cos10
= sin100/cos10
= sin80/cos10
= sin80/sin80
= 1