Question

Solve for x:tan−1(x+1)+tan−1x+tan−1(x−1)=tan−13.

Answer 1

Answer:

Hello,

here, after solving the above inverse trigonometric function eqn.

we get a cubic eqn i.e.

x^3-9x^2-4x+6=0

Now , solving the cubic eqn we get:-

so,x=-1

Thank you !!!

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-----> Imop. formula for this question is

tan^-1 (x)+tan^-1 (y)

= tan^-1 {(x+y)/(1-xy))} .