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I got a equation in the following form

f(t) = 2*cos(t) + 3*sin(t)

and I want to reduce it to something like

f(t) = (9 + 4)^(1/2) * cos(t - atan(3/2))

None of the trigonometric simplify functions seems to work. Is there a way to do so?

Voz bonita
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  • What is `sen(t)` ? – John Alexiou Oct 09 '20 at 23:38
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    I think you mean `sin(t)` instead of `sen(t)`. Note the inverse tangent is `atan` or `atan2` instead of `arctg`. Also functions are defined by `:=` instead of `=`, but anyway Maxima prefers to work on expressions, so you might say `e: 2*cos(t) + 3*sin(t);` and go from there. You can get the result you want by walking through the solution of `a*cos(t - b) = 2*cos(t) + 3*sin(t)` step by step, but I don't know a single function which does it all at once. I can help with that if you want. For further discussion, try the mailing list: https://sourceforge.net/projects/maxima/lists/maxima-discuss – Robert Dodier Oct 10 '20 at 19:38
  • You are right @RobertDodier, I meant sin(t) and just edited it. I think I got the step by step way, but thank you very much, I will try the mailing list – Voz bonita Oct 11 '20 at 00:14

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