Evaluate- - 1 x - 1x - 1 - sin - 1 x - 2x - 1

Solution : sec^ 1(x+1/x 1)+sin^ 1(x 1/x+1) ⇒ cos^ 1(x 1/x+1)+sin^ 1(x 1/x+1) ⇒π/2 ...

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Byju's Answer

Standard XII

Mathematics

Basic Inverse Trigonometric Functions

Evaluate: -...

Question

Evaluate: ${sec}^{- 1} (\frac{x + 1}{x - 1}) + {sin}^{- 1} (\frac{x - 2}{x + 1})$

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Solution

Solution :-

$s e c^{- 1} (\frac{x + 1}{x - 1}) + s i n^{- 1} (\frac{x - 1}{x + 1})$

$\Rightarrow c o s^{- 1} (\frac{x - 1}{x + 1}) + s i n^{- 1} (\frac{x - 1}{x + 1})$

$\Rightarrow \frac{π}{2}$

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Evaluate: sec−1(x+1x−1)+sin−1(x−2x+1)

Solution :-sec−1(x+1x−1)+sin−1(x−1x+1)⇒cos−1(x−1x+1)+sin−1(x−1x+1)⇒π2

Evaluate: ${sec}^{- 1} (\frac{x + 1}{x - 1}) + {sin}^{- 1} (\frac{x - 2}{x + 1})$

Solution :-

$s e c^{- 1} (\frac{x + 1}{x - 1}) + s i n^{- 1} (\frac{x - 1}{x + 1})$

$\Rightarrow c o s^{- 1} (\frac{x - 1}{x + 1}) + s i n^{- 1} (\frac{x - 1}{x + 1})$

$\Rightarrow \frac{π}{2}$