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Math Help - Solve the equation for exact solutions.

  1. #1
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    Solve the equation for exact solutions.

    4pi+4tan^-1 x = pi
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    Re: Solve the equation for exact solutions.

    What have you tried?
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  3. #3
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    Re: Solve the equation for exact solutions.

    The solution in the book, said that it equals 0 but i'm not sure how to do this problem.
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    MHF Contributor MarkFL's Avatar
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    Re: Solve the equation for exact solutions.

    We are given to solve:

    4\pi+4\tan^{-1}(x)=\pi

    What do you think should be the first step to solve for x?
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    Re: Solve the equation for exact solutions.

    4\arctan(x) = -3\pi \Leftrightarrow \arctan(x) = \frac{-3\pi}{4} \Leftrightarrow  x = \tan(\frac{-3\pi}{4}) = 1
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  6. #6
    MHF Contributor MarkFL's Avatar
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    Re: Solve the equation for exact solutions.

    Quote Originally Posted by ManosG View Post
    4\arctan(x) = -3\pi \Leftrightarrow \arctan(x) = \frac{-3\pi}{4} \Leftrightarrow  x = \tan(\frac{-3\pi}{4}) = 1
    What about -\frac{\pi}{2}<\tan^{-1}(x)<\frac{\pi}{2} ?

    Also, on math help sites, it is common courtesy to not give solutions or further hints after someone has tried to engage the OP to work the problem for themselves. When you do this, you devalue the help trying to be judiciously given.
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