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Questions  

 In ΔABC cosAcosBcosC=3-18 and sinAsinBsinC=3+38, then the value of tanA+tanB+tanC=

a
3+33−1
b
3+43−1
c
6−33−1
d
3+23−1

detailed solution

Correct option is A

We havesinAsinBsinCcosAcosBcosC=3+33-1⇒tanAtanBtanC=3+33-1 ⇒tanA+tanB+tanC=3+33-1  ∵A+B+C=π⇒tanA+tanB+tanC=tanAtanBtanC

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