Answer :

We need to find the value of


Let 2 cot-1 3 = y


Then,




Substituting 2 cot-1 3 = y,



Using the trigonometric identity,



So,



We know that,



…(i)


We know that, by trigonometric identity,



Take reciprocal of both sides,








Put y = y/2.



Putting the value of cot y in equation (i),





Put the value of derived above and also .





=7

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