Use Simplify option Trig->False when 3rd argument to Collect is Simplify

Question

I would like to simplify the following expression

AAA (4 Sin[x]^2 Cos[x]^2) + AAA 4 Sin[x] Cos[x] + AAA

with the Trig->False option inside a Collect:

Collect[AAA (4 Sin[x]^2 Cos[x]^2) + AAA 4 Sin[x] Cos[x] + AAA, AAA, Simplify]

how can I insert the Trig->False condition in such an expression?

Thank you in advance

FullSimplify[AAA (4 Sin[x]^2 Cos[x]^2) + AAA 4 Sin[x] Cos[x] + AAA] gives a simple form. I don't understand what you want to "collect". — bill s, Commented Feb 14, 2014 at 15:48
this is just a simplified example. In this case the desired output is AAA (1 + 2 Cos[x] Sin[x])^2 and not the one returned by the code you suggested, which is AAA (Cos[x] + Sin[x])^4 — user9994, Commented Feb 14, 2014 at 15:54
It seems Trig -> False is in fact the default setting for that option ... Can you make it clear how you want to use this option with an example? This option does not appear in the code you posted. — Szabolcs, Commented Feb 14, 2014 at 16:09
Either use SetOptions to change the default, or use Simplify[#, Trig -> False] & in the Collect — Simon Woods, Commented Feb 14, 2014 at 16:27
You said, "with the Trig->False option inside a Collect". In Collect the default is Trig -> False. In Simplify it is indeed Trig -> True. Can you see why this description was confusing? It would be useful if you updated the question too (not just mention this in the comments), for any future readers. — Szabolcs, Commented Feb 14, 2014 at 17:20

m_goldberg · Accepted Answer · 2014-02-14 18:08:34Z

4

As Simon Woods said in his comment, use the form

Collect[AAA (4 Sin[x]^2 Cos[x]^2) + AAA 4 Sin[x] Cos[x] + AAA, AAA, 
  Simplify[#, Trig -> False] &]

AAA (1 + 2 Cos[x] Sin[x])^2

answered Feb 14, 2014 at 18:08

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