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If in a !ABC sin A =4/5 and sin B =12/13...

If in a `!ABC` sin A =`4/5` and sin B =`12/13`, then sin C =

A

`33/65`

B

`56/65`

C

`33/56`

D

none of these

Text Solution

Verified by Experts

We have,
`sinA=4/5` and `sinB=12/13`
`rArrtaanA=4/3` and `tanB=12/5`
`thereforetan A + tan B + tan C = tan A tan B tan C`
`rArr4/3+12/5+tanC=4/3xx12/5xxtanC`
`rArrtanC=56/33rArrsinC=56/65`
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