若cosA=3/5,cos(A-B)=56/65,且a=52,当a>b时,求b的值

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若cosA=3/5,cos(A-B)=56/65,且a=52,当a>b时,求b的值若cosA=3/5,cos(A-B)=56/65,且a=52,当a>b时,求b的值若cosA=3/5,cos(A-B)

若cosA=3/5,cos(A-B)=56/65,且a=52,当a>b时,求b的值
若cosA=3/5,cos(A-B)=56/65,且a=52,当a>b时,求b的值

若cosA=3/5,cos(A-B)=56/65,且a=52,当a>b时,求b的值
cosA=3/5 sinA=4/5
cos(A-B)=56/65 sin(A-B)=33/65
sinB=sin(A-(A-B))
=sinAcos(A-B)-cosAsin(A-B)
=(4/5)(56/65)-(3/5)(33/65)
=(224-99)/(5*65)
=25/65=5/13
a/sinA=b/sinB
b=asinB/sinA=52*(5/13)/(4/5)1=25