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In Delta ABC, (sin A (a - b cos C))/(sin...

In `Delta ABC, (sin A (a - b cos C))/(sin C (c -b cos A))=`

A

`-2`

B

`-1`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
D

`(sinA (a -b cos C))/(sinC (c -b cos A))`
`= (sin A (b cos C + c cos B - cos C))/(sin C (a cos B + b cos A - b cos A))`
`= (sin A (c cos B))/(sin C (a cos B))`
`=1 " " ("as " c sin A = a sin C)`
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