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If A+B+C= pi/2, show that : tanA tanB + ...

If `A+B+C= pi/2`, show that : `tanA tanB + tanB tanC + tanC tanA=1`

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Knowledge Check

  • tanA +tanB + tanC = tanA tanB tanC if

    A
    `A + B + C= pi`
    B
    `A + B + C= 2pi`
    C
    `A + B + C= npi`
    D
    `A + B + C= pi//2`

  • If A + B + C = π , Prove that tanB tanC+tanC tanA+tanA tanB=1+secA . sec B . secC.

    A
    1+q
    B
    `(1+q)/(q)`
    C
    1+q
    D
    `(1+p)/(p)`

  • If A+B+C=pi , then tan A + tanB + tanC equals

    A
    1
    B
    `tan A tan B + tan B tan C + tan C tan A`
    C
    `tan A tan B tan C`
    D
    none of these

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