Inverse circular functions-Principal values of sin -1 x- cos -1 x- tan -1 x- tan -1 x- tan -1 y- tan -1 x-y - 1-xy- xy1-then for for x- -2 cos -1 cot2 tan -1 x-0-

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Parametric Differentiation

Inverse circu...

Question

Inverse circular functions,Principal values of ${s i n}^{- 1} x, {c o s}^{- 1} x, {t a n}^{- 1} x$ .
${t a n}^{- 1} x + {t a n}^{- 1} y = {t a n}^{- 1} \frac{x + y}{1 - x y}$ , $x y < 1$
$π + {t a n}^{- 1} \frac{x + y}{1 - x y}$ , $x y > 1$ .
then for for x, $[2 {c o s}^{- 1} c o t (2 {t a n}^{- 1} x)] = 0$ .

True

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