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Sum of Trigonometric Ratios in Terms of Their Product

Solve : tan-...

Question

Solve :
$cot ({tan}^{- 1} α + {cot}^{- 1} α)$

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Solution

$= cot ({tan}^{- 1} α + {cot}^{- 1} α)$
$= cot ({tan}^{- 1} α + {tan}^{- 1} \frac{1}{α})$
$= cot ⎛ ⎜ ⎜ ⎜ ⎝ {tan}^{- 1} ⎛ ⎜ ⎜ ⎜ ⎝ \frac{α + \frac{1}{α}}{λ - X} ⎞ ⎟ ⎟ ⎟ ⎠ ⎞ ⎟ ⎟ ⎟ ⎠$
$= cot (\frac{π}{2}) = 0$

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Sum of Trigonometric Ratios in Terms of Their Product

Standard XII Mathematics

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