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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1348.0. "(greatly) Simplify expression in sines" by TRACE::GILBERT (Ownership Obligates) Wed Dec 05 1990 13:17

Simplify:

sin(A+x)     sin A + sin B - sin(A+B)      sin x   sin A - sin B + sin(A+B)
-------- * ----------------------------- + ----- * -------------------------
 sin A     sin B + sin(A+x) - sin(A+B+x)   sin A   sin(A+B+x)+sin(A+B)+sin x

You will know you have found the simplest form when you find it.

This problem arose while solving another problem.
It can be greatly simplified by computer, but it took
over 5 minutes of heavy computation.
Yet the question seems elementary enough that any high
school student can work on it.

T.RTitleUserPersonal
Name
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1348.1GUESS::DERAMOSometimes they leave skid marks.Wed Dec 05 1990 16:508
        What happens when you make the following substitution?
        
        		 ix    -ix
        		e   - e
        	sin x = ----------
        		    2i
        
        Dan