[sage-support] Re: [sage-support]how to simply the equation

[Mike Hansen]

Hello,

2009/10/12  wxu...@sohu.com:

 Hi, everyone, I got the expression,

 sin(t)^8 + 4*sin(t)^6*cos(t)^2 + 6*sin(t)^4*cos(t)^4 +
 4*sin(t)^2*cos(t)^6 + cos(t)^8
 actually it is 1. how can I get it?

Here you go:

sage: t = var('t')
sage: a = sin(t)^8 + 4*sin(t)^6*cos(t)^2 + 6*sin(t)^4*cos(t)^4 +
4*sin(t)^2*cos(t)^6 + cos(t)^8
sage: a.trig_simplify()
1

--Mike

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[sage-support] Re: [sage-support]how to simply the equation

[Laurent]

wxu...@sohu.com ha scripte:
 Hi, everyone, I got the expression,

 sin(t)^8 + 4*sin(t)^6*cos(t)^2 + 6*sin(t)^4*cos(t)^4 +
 4*sin(t)^2*cos(t)^6 + cos(t)^8
 actually it is 1. how can I get it?

 Thanks in advance!

   

The secret is the method fullsimplify

var('t')
A = sin(t)**8 + 4*sin(t)**6*cos(t)**2 + 6*sin(t)**4*cos(t)**4 
+4*sin(t)**2*cos(t)**6 + cos(t)**8
A.full_simplify()




BTW, you should write sin(t)**2 instead of sin(t)^2 for at least two 
reasons :
1. this is the correct syntax
2. My Thunderbird printed sin(t)², and a copy paste to the Sage notebook 
produced sin(t)2. Thus I had to add ** by hand.

The second point could, however, be seen as a bug in thunderbird...



Have a good day
Laurent

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[sage-support] Re: [sage-support]how to simply the equation

[wxuyec]

Thank you very much.



Mike Hansen 写道:

 Hello,

 2009/10/12  wxu...@sohu.com:
   
 Hi, everyone, I got the expression,

 sin(t)^8 + 4*sin(t)^6*cos(t)^2 + 6*sin(t)^4*cos(t)^4 +
 4*sin(t)^2*cos(t)^6 + cos(t)^8
 actually it is 1. how can I get it?
 

 Here you go:

 sage: t = var('t')
 sage: a = sin(t)^8 + 4*sin(t)^6*cos(t)^2 + 6*sin(t)^4*cos(t)^4 +
 4*sin(t)^2*cos(t)^6 + cos(t)^8
 sage: a.trig_simplify()
 1

 --Mike

 

   


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[sage-support] Re: [sage-support]how to simply the equation

[Mike Hansen]

On Mon, Oct 12, 2009 at 3:30 PM,  wxu...@sohu.com wrote:

 Thank you.

 It confused me how can I know all about the method.

 Is there some efficient way to know all of them?

The easiest way is to use tab-completion.  For example, if ex is your
object, type in ex.simplify_ and then press TAB.  It will show all
the possible methods that start with simplify_.

--Mike

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