Newbie question. How do I get SageMath to use tan in its result instead of the ratio and sin and cos?
Example:
sage: a = sin(x^2 + x + 1) / cos(x^2 + x + 1)
sage: a
sin(x^2 + x + 1)/cos(x^2 + x + 1)
I would hope to see instead:
tan(x^2 + x + 1)
Thanks, Eric
slelievre's answer is general, and should be kept in mind ; in this specific case, SR has a specific suitable method :
sage: a.trig_reduce()
tan(x^2 + x + 1)
HTH,
Sage's symbolic ring has "wildcards" for advanced substitutions.
For example, starting from the expression in the question:
sage: w0 = SR.wild(0)
sage: a.subs({sin(w0)/cos(w0): tan(w0)})
tan(x^2 + x + 1)
Asked: 2022-06-20 18:09:18 +0100
Seen: 321 times
Last updated: Jun 21 '22
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I added an example in text mode, which is preferrable to an image.
Indeed, it can be copied and pasted, making it easier to explore the issue.