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Trigonometric Simplification to SINE function #295

Open rtoy opened 4 months ago

rtoy commented 4 months ago

Imported from SourceForge on 2024-07-02 15:30:07 Created by *anonymous on 2012-07-15 11:05:52 Original: https://sourceforge.net/p/maxima/bugs/2445

Hi

This is a wish list of easy changes in Trigonometric Simplification to SINE function but they could be extended to other functions as well.

1) The trigonometric simplification should be aware that SIN(3*%PI/7)=SIN(4*%PI/7) or in general SIN(%PI* a/c)=SIN(%PI *b/c) where a+b=c. (a,b,c > 0)

2) The trigonometric simplification should simplify SIN(%PI*494/7) to SIN(%PI*(70+4))=SIN(%PI*4/7)

rtoy commented 4 months ago

Imported from SourceForge on 2024-07-02 15:30:08 Created by macrakis on 2012-07-16 04:16:26 Original: https://sourceforge.net/p/maxima/bugs/2445/#039a

Thanks for the suggestions -- both helpful.

As a workaround until this is improved, note that trigrat( sin(4*%pi/7) - sin(3*%pi/7) ) => 0 and trigrat( sin(494*%pi/7) - sin(4*%pi/7) ) => 0