Trivia: Question about arranging terms

11192017, 03:39 PM
(This post was last modified: 11192017 03:39 PM by DrD.)
Post: #1




Trivia: Question about arranging terms
If there is a lexicon formality, how should equal power terms involving cos() and sin() be displayed in "proper" order?
Here's an example: y:=cos(x^4)^2; y'; ==> 2*4*x^3*sin(x^4)*cos(x^4) Notice the factoring order collect(y'); ==> 8*x^3*cos(x^4)*sin(x^4) The cos() and sin() get reversed here. (In this case increasing power order): Without any mathematical difference, what, if any, is the proper, or most formal way to express the ordering of the trig terms? 

11192017, 03:58 PM
(This post was last modified: 11192017 04:00 PM by salvomic.)
Post: #2




RE: Trivia: Question about arranging terms
(In this case increasing power order): Without any mathematical difference, what, if any, is the proper, or most formal way to express the ordering of the trig terms?
[/quote] In the old Italian books of trigonometry we have: SIN, COS, TAN and decreasing power order (x^4, x^3, x^2..., about my math professor), but if (generally) COS in x and SIN is y, we should have COS, SIN, TAN, I think... ∫aL√0mic (IT9CLU) :: HP Prime 50g 41CX 71b 42s 39s 35s 12C 15C  DM42, DM41X  WP34s Prime Soft. Lib 

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