为什么sin2A+sin2B=sin2C得sin(A+B)cos(A-B)=2sinCcosC
人气:495 ℃ 时间:2020-09-18 05:59:39
解答
sin2A+sin2B=sin2C得sin(A+B)cos(A-B)=2sinCcosC 答:因为 sin(A+B)=sinAcosB+sinBcosA cos(A-B)=cosAcosB+sinAsinB sin(A+B)cos(A-B)=(sinAcosB+sinBcosA)(cosAcosB+sinAsinB)整理得 = sin2A+sin2B
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