数学.在ABC中,角A.B.C的对边是a.b.c,已知sinC+cosC=1-sin(C/2)
(1)求sinC的值.(2)若【a平方+b平方=4(a+b)-8】,求c边的值.
人气:162 ℃ 时间:2019-08-20 07:11:35
解答
1sinC+cosC=1-sin(C/2)2sin(C/2)cos(C/2)=2sin²(C/2)-sin(C/2)∵sin(C/2)≠0∴2cos(C/2)=2sin(C/2)-1sin(C/2)-cos(C/2)=1/2[sin(C/2)-cos(C/2)]^2=1/41-sinC=1/4,sinC=3/42∵a^2+b^=4(a+b)-8∴(a-2)^2+(b-...
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