How to solve 2 tan <mrow class="MJX-TeXAtom-ORD"> &#x2212;<!-- − -->

poklanima5lqp3

poklanima5lqp3

Answered question

2022-05-15

How to solve 2 tan 1 x x 2 = tan 1 x + tan 1 ( 1 x )

Answer & Explanation

recajossikpfmq

recajossikpfmq

Beginner2022-05-16Added 19 answers

Letting u=1−x,v=x, you need to solve 2 arctan u v = arctan u + arctan v ..
Taking tangents on both sides and applying tangent addition and double angle formulae gives 2 u v 1 u v = u + v 1 u v 2 u v = u + v 2 x x 2 = 1 4 ( x x 2 ) = 1 which is a simple quadratic to solve.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?