Thread: Solve the inverse trigonometric equation?

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

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