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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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Knowledge Check

  • in a triangle ABC , ( cos A)/(a) = (cos B )/( b) = ( cos C )/( c ) if a=(1 )/( sqrt(6)) then the area of the triangle ( in square units ) is

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    B
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    C
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    D
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