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Properties Derived from Trigonometric Identities

Find the valu...

Question

Find the value of $cot ({tan}^{- 1} α + {cot}^{- 1} α) .$

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Solution

Given : $cot ({tan}^{- 1} α + {cot}^{- 1} α)$
$∵ {tan}^{- 1} x + {cot}^{- 1} x = \frac{π}{2}$
$∴ cot ({tan}^{- 1} α + {cot}^{- 1} α) = cot (\frac{π}{2})$
$\Rightarrow cot ({tan}^{- 1} α + {cot}^{- 1} α) = 0$

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Properties Derived from Trigonometric Identities

Standard XII Mathematics

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