Find the value of tan-1 a - cot-1 a-

cot (tan^ 1 a + cot^ 1 a) =cot π2=0 ...

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Basic Inverse Trigonometric Functions

Find the valu...

Question

Find the value of $cot (t a n^{- 1} a + c o t^{- 1} a)$ .

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cot ({tan}^{- 1} a + {cot}^{- 1} a)

tan [\frac{π}{4} + \frac{1}{2} {cos}^{- 1} \frac{a}{b}] + tan ⌊ \frac{π}{4} - \frac{1}{2} {cos}^{- 1} \frac{a}{b} ⌋

{lim}_{x \to 0} \frac{t a n (a + x) - t a n (a - x)}{t a n^{- 1} (a + x) - t a n^{- 1} (a - x)}

{tan}^{- 1} (\frac{1}{2} tan 2 A) + {tan}^{- 1} (cot A) + {tan}^{- 1} ({cot}^{3} A)

0 < A < \frac{π}{4}

Find the value of the following:

$c o t (t a n^{- 1} a + c o t^{- 1} a)$

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