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Question: Adding sinusoids of same frequency

Question:Adding sinusoids of same frequency

Patrick319 45 Maple 14
March 31 2011
0

I am attempting to combine the sum of two sinusoids having the same frequency in Maple (e.g. A*cos(10*x) + B*sin(10*x + Pi/3) = M*cos(10*x + phi) )

The long way through this is to break each term up into cartesian components and add them (x = A + B*cos(Pi/3 + 3*Pi/2) , y = B*sin(Pi/3 + 3*Pi/2) ). Following the summation, they can be converted back to polar (M = sqrt( x^2 + y^2 ) and phi = arctan(y/x)).

This is a long process for me and if my graphing calculator can easily do phasor addition and conversion, then Maple should be able to as well.

Does Maple have builtin utilities for this type of functionality or do I just need to do it the long way?

Thanks,
Patrick
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