问题
选择题
△ABC中,B=120°,AC=7,AB=5,则cosC=( )
|
答案
∵sinB=
,AC=b=7,AB=c=5,3 2
∴由正弦定理
=b sinB
得:sinC=c sinC
=csinB b
=5× 3 2 7
,5 3 14
∵B为钝角,∴C为锐角,
则cosC=
=1-sin2C
.11 14
故选C
△ABC中,B=120°,AC=7,AB=5,则cosC=( )
|
∵sinB=
,AC=b=7,AB=c=5,3 2
∴由正弦定理
=b sinB
得:sinC=c sinC
=csinB b
=5× 3 2 7
,5 3 14
∵B为钝角,∴C为锐角,
则cosC=
=1-sin2C
.11 14
故选C