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Math Help - Solve the inverse trigonometric equation?

  1. #1
    Super Member fardeen_gen's Avatar
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    Solve the inverse trigonometric equation?

    Solve the equation arctan |x| - arctan |x - 1| = arctan 2
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  2. #2
    Member
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    Hello,

    Let alpha=arctan |x|, beta= - arctan |x - 1|, gamma = arctan 2.
    We have gamma=alpha-beta.
    Use tan(gamma)=tan(alpha-beta)=(tan(alpha)-tan(beta))/(1+tan(alpha)tan(beta)). You can get rid of tangents.

    Bye
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