题目内容
如图,平面四边形ABCD中,AB=13,AC=10,AD=5,cos∠DAC=
,
=120.
(1)求cos∠BAD;![]()
(2)设
求x,y的值.
解 (1)设∠CAB=α,∠CAD=β,
cosα=
=
=
,cosβ=
,
∴sinα=
,sinβ=
.
∴cos∠BAD=cos(α+β)=cosαcosβ-sinαsinβ
=
×
-
×
=
.
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题目内容
如图,平面四边形ABCD中,AB=13,AC=10,AD=5,cos∠DAC=
,
=120.
(1)求cos∠BAD;![]()
(2)设
求x,y的值.
解 (1)设∠CAB=α,∠CAD=β,
cosα=
=
=
,cosβ=
,
∴sinα=
,sinβ=
.
∴cos∠BAD=cos(α+β)=cosαcosβ-sinαsinβ
=
×
-
×
=
.