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Math Help - Sum of a Tangent

  1. #1
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    Sum of a Tangent

    If tan(x+y) = 33 and tan x = 3, find tan y.

    I plugged these values into the Sum of a Tangent Identity:

    \tan \left( {\theta _1 + \theta _2 } \right) = \frac{{\tan \theta _1 + \tan \theta _2 }}{{1 - \tan \theta _1 \tan \theta _2 }}

    \tan \left( {3 + y } \right) = \frac{{3 + \tan y }}{{1 - 3 \tan y }}

    33 = \frac{{3 + \tan y }}{{1 - 3 \tan y }}

    I solved for tan y and got: \tan y = 3/10

    Is this the correct way to solve/correct answer? Thanks.
    Last edited by lightningstab714; March 18th 2009 at 05:07 PM.
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  2. #2
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    Quote Originally Posted by lightningstab714 View Post
    If tan(x+y) = 33 and tan = 3, find tan y.

    I plugged these values into the Sum of a Tangent Identity:

    \tan \left( {\theta _1 + \theta _2 } \right) = \frac{{\tan \theta _1 + \tan \theta _2 }}{{1 - \tan \theta _1 \tan \theta _2 }}

    \tan \left( {3 + y } \right) = \frac{{3 + \tan y }}{{1 - 3 \tan y }}

    33 = \frac{{3 + \tan y }}{{1 - 3 \tan y }}

    I solved for tan y and got: \tan y = 3/10

    Is this the correct way to solve/correct answer? Thanks.
    correct
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