Property: tan^ 1x+cot^ 1x=π/2Given that, tan (cot^ 1 x)So,tan (cot^ 1 x) = tan[(π/2)–tan^ 1x] [By using property] =cot (tan^ 1 x) ...

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Trigonometric Ratios of Multiples of an Angle

tan cot-1 x =

Question

$\tan (c o t^{- 1} x) =$

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Solution

Property: $\tan^{- 1} x + c o t^{- 1} x = \frac{π}{2}$
Given that, $\tan (c o t^{- 1} x)$
So,
$\tan (c o t^{- 1} x) = \tan [(\frac{π}{2}) - \tan^{- 1} x]$ [By using property]
$= c o t (\tan^{- 1} x)$

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