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What is the solution for `tan^-1 (sqrt 3) + tan^-1 x = pi/2`

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rouche | Student, Undergraduate | eNoter

Posted December 25, 2011 at 10:00 PM via web

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What is the solution for `tan^-1 (sqrt 3) + tan^-1 x = pi/2`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted December 25, 2011 at 10:12 PM (Answer #1)

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The value of x has to be determined such that `tan^-1(sqrt 3) + tan^-1 x = pi/2`

`tan^-1(sqrt 3) = 60`

=> `60 + tan^-1 x = 90`

=> `tan^-1 x = 30`

=> x = tan 30

=> x = `1/sqrt 3`

The required value of x = `1/sqrt 3`

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