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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