calculus

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Find the exact value of the given expression.
(tan17pi/12 - tan pi/4) / (1+tan 17pi/12 tan pi/4)

can you help with this? i got the answer 1/ squareroot 3

  • calculus -

    I assume you used:

    tan(A - B) = (tanA - tanB)/( 1 + tanAtanB)

    then (tan17pi/12 - tan pi/4) / (1+tan 17pi/12 tan pi/4)
    = tan(17π/12 - π/4)
    = tan( 7π/6) or tan 210° ---> quad III
    = 1/√3

  • calculus -

    You are correct!

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