Solve the equation arctan |x| - arctan |x - 1| = arctan 2

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- September 24th 2008, 08:17 AMfardeen_genSolve the inverse trigonometric equation?
Solve the equation arctan |x| - arctan |x - 1| = arctan 2

- September 24th 2008, 08:29 AMwisterville
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