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Question Number 49534 by aseerimad last updated on 07/Dec/18

Commented by aseerimad last updated on 07/Dec/18

$h o w i s t h i s d o n e i n s h o r t ? T h a n k s i n a d v a n c e .$
Commented by Abdo msup. last updated on 08/Dec/18

$s i n (a r c s i n x + 2 a r c c o s x)$ $s i n (a r c s i n x) c o s (2 a r c o s x) + c o s (a r c s i n x) s i n (2 s r c o s x)$ $= x (2 {c o s}^{2} (a r c o s x) - 1) + c o s (\frac{π}{2} - a r c o s x) 2 s i n (a r c o s x) c o s (a r c o s x)$ $= x (2 x^{2} - 1) + 2 {s i n}^{2} (a r c o s x) x$ $= 2 x^{3} - x + 2 x (1 - x^{2}) = 2 x^{3} - x + 2 x - 2 x^{3}$ $= x s o t h e a n s w e r i s (c) .$
Commented by aseerimad last updated on 09/Dec/18

$t h a n k y o u s i r$
	Answered by behi83417@gmail.com last updated on 07/Dec/18

	$= s i n ({s i n}^{- 1} x + 2 (\frac{π}{2} - {s i n}^{- 1} x)) =$ $= s i n (π - {s i n}^{- 1} x) = s i n ({s i n}^{- 1} x) = x .$
	Commented by aseerimad last updated on 09/Dec/18

	$t h a n k y o u s i r$
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