在线等答案…急…简化求值：sin50º(1+∫3tan10º)

上下同乘以cos10
=2sin50(cos10/2+根号3sin10/2)/cos10
=2sin50(cos60cos10+sin60sin10)/cos10
=2sin50cos50/cos10
=sin110/cos10=1本回答被提问者采纳

sin50º(1+∫3tan10º)
=sin50(1+√3sin10/cos10)
=sin50(cos10+√3sin10)/cos10
=2 sin50 (1/2cos10+√3/2sin10)/cos10
=2 sin50 (1/2cos10+√3/2sin10)/cos10
=2sin50cos50/ cos10
=sin100/ cos10
=sin80/ cos10
=sin80/sin80
=1