Re: How to simplify ArcSin formula
- To: mathgroup at smc.vnet.net
- Subject: [mg123285] Re: How to simplify ArcSin formula
- From: Dana DeLouis <dana01 at me.com>
- Date: Wed, 30 Nov 2011 03:21:33 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
> The answer I know is xxx = 0... I don't believe it's true for all cases of t. aa=1/2; xxx = t+ArcSin[aa]-ArcSin[aa Cos[t]+Sqrt[1-aa^2] Sin[t]]; Maybe for a small range... xxx/. t->1. //Chop 0 However... xxx/. t->2. 1.9056 xxx/. t->3. 3.9056 xxx/. t->4. 5.9056 = = = = = = = = = = HTH Dana DeLouis = = = = = = = = = = On Nov 29, 7:06 am, David Sagan <david.sa... at gmail.com> wrote: > I am trying to discover how to simplify xxx where xxx is defined to > be: > xxx= t + ArcSin[aa] - ArcSin[aa Cos[t] + Sqrt[1 - aa^2] Sin[t]] > with > -1 < aa < 1 > The answer I know is xxx = 0 but the reason I am posing the question > is that I am interested in finding out, in general, how to manipulate > formulas of this type. I tried: > FullSimplify[xxx, -1<a<1] > but that did not work. Can anyone tell me how to do this? > > -- Thanks, David