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Re: Sin[30*Degree] vs Sin[29*Degree]

• To: mathgroup at smc.vnet.net
• Subject: [mg72091] Re: Sin[30*Degree] vs Sin[29*Degree]
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Mon, 11 Dec 2006 04:55:27 -0500 (EST)
• Organization: The Open University, Milton Keynes, UK
• References: <elglnb$h7f$1@smc.vnet.net>

Steven Shippee wrote:
> What is happening here:
> 
> Sin[30*Degree]
> Sin[31*Degree]
> Sin[29*Degree]
> which makes it appear that only the first line of input works?
> 
> However, if I do something like:
> 
> \!\(Sin[\(29*Pi\)\/180. ]\)
> 
> I get the expected result ... I'm sure it is me, what am I missing in that I 
> think I am not seeing consistent behavior?

Exact vs. approximate results.

In[1]:=
Sin[30*Degree]
Sin[31*Degree]
Sin[29*Degree]

Out[1]=
1/2

Out[2]=
Sin[31*Degree]

Out[3]=
Sin[29*Degree]

In[4]:=
N[%%]

Out[4]=
0.5150380749100542

In[5]:=
N[%%]

Out[5]=
0.48480962024633706

Regards,
Jean-Marc