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If ABCD is a cyclic quadrilateral then w...

If ABCD is a cyclic quadrilateral then what is `sinA+sinB-sinC-sinD` equal to ?

A

0

B

1

C

2

D

`2(sinA+sinB)`

Text Solution

Verified by Experts

The correct Answer is:
A
We know in cyclic quadrilateral , ABCD
`A+C=180^(@),B+D=180^(@)`
`thereforeA=180^(@)-C,B=180^(@)-D`
`sinA+sinB-sinC-sinD`
`=sin(180^(@)-C)+sin(180^(@)-D)-sinC-sinD`
`=sinC+sinD-sinC-sinD=0`
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