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 March 28th, 2011, 06:02 PM #1 Member   Joined: Jan 2011 Posts: 40 Thanks: 0 no. of ordered pair The no. of ordered pair of the equation $\frac{sin^{-1}x}{x}+\frac{sin^{-1}y}{y}= 2$
 March 28th, 2011, 09:09 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond Re: no. of ordered pair My guess: 1. I've spent several minutes working on this and intend to return in the morning. (hours, minutes, whatever . . .)
 March 29th, 2011, 01:03 PM #3 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond Re: no. of ordered pair The range of $\frac{\arcsin(x)}{x}$ is $\(1,\,\frac{\pi}{2}\]$ so there are no ordered pairs $(x,\,y)$ satisfying $\frac{\arcsin(x)}{x}\,+\,\frac{\arcsin(y)}{y}\,=\, 2$

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