Let a,b, c are the sides opposite to ang...

Let a,b, c are the sides opposite to angles A, B , C respectively in a `Delta ABC tan""(A-B)/(2)=(a-b)/(a+b)cot ""C/2 and (a)/(sin A)=(b)/(sin B) =(c)/(sin C),`
If `a=6,b=3 and cos (A-B) =4/5`
Valus of sin A is equal to

A

`(1)/(sqrt5)`

B

`(2)/(sqrt5)`

C

`(1)/(2sqrt5)`

D

`(1)/(sqrt3)`

Verified by Experts

The correct Answer is:

B

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