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If A+B+C=pi, then the value of [[sin(A+...

If `A+B+C=pi,` then the value of `[[sin(A+B+C) , sin(A+C) , cosC],[-sinB,0,tanA],[cos(A+B),tan(B+C),0]]`is `=0` `(a)0` (b) `1` (c) `2sinBtanAcosC` (d) none of these

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Given,
`[[sin(A+B+C) , sin(A+C) , cosC],[-sinB,0,tanA],[cos(A+B),tan(B+C),0]]`
`=[[sin(pi) ,sin(B),cosC],[-sinB,0,tanA],[cos(pi-C),-tan(A),0]]`
`=[[0 ,sin(B),cosC],[-sinB,0,tanA],[-cos(C),-tan(A),0]]`
`=0-sinB(tanAcosC)+cosB(sinCtanA)`
...
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