[email protected] 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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