Welcome to my article2 tan^(-1)sqrt((b)/(a))=cos^(-1)(a-b)/(a+b) ? This question is taken from the simplification lesson.

The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.

For complete information on how to solve this question 2 tan^(-1)sqrt((b)/(a))=cos^(-1)(a-b)/(a+b) ?, read and understand it carefully till the end.

Let us know how to solve this question 2 tan^(-1)sqrt((b)/(a))=cos^(-1)(a-b)/(a+b) ?.

First write the question on the page of the notebook.

**2 tan^(-1)sqrt((b)/(a))=cos^(-1)(a-b)/(a+b) ?**

**let’s solve this question**,

LEFT HAND SIDE

\displaystyle 2ta{{n}^{{(-1)}}}sqrt((b)/(a))On writing it like this –

\displaystyle 2ta{{n}^{{(-1)}}}\sqrt{{\left( {\frac{{\left( b \right)}}{{\left( a \right)}}} \right)}}## if,

\displaystyle 2ta{{n}^{{(-1)}}}\sqrt{{\left( {\frac{{\left( b \right)}}{{\left( a \right)}}} \right)}}=\theta \displaystyle 2\sqrt{{\left( {\frac{{\left( b \right)}}{{\left( a \right)}}} \right)}}=tan\theta \displaystyle 2\left( {\frac{{\left( b \right)}}{{\left( a \right)}}} \right)=ta{{n}^{2}}\theta**so that we write **

** \displaystyle ={{\cos }^{{-1}}}\left( {\frac{{a-b}}{{a+b}}} \right) (proved)**

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