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Question: Why doesn't Maple simplify sin(x) / cos(x) as tan(x)?

Question:Why doesn't Maple simplify sin(x) / cos(x) as tan(x)?

Thiago_Rangel7 35 Maple 2022
simplification trig tan
March 17 2023
4

I'm learning about simplifications in Maple and I'm trying to make it simplify simple trigonometric expressions like sin(x) / cos(x) to tan(x), but it doesn't.

I tried the commands simplify(sin(x) / cos(x)), simplify(sin(x) / cos(x), trig) and nothing works. It still returns:

simplify(sin(x)/cos(x), trig)

I managed to make it work using convert(sin(x)/cos(x), tan):

convert(sin(x)/cos(x), tan)

BUT it creates more problems than it solves, because if I have something like sin(x)/cos(x)*sin(x), I would like it to simplify as tan(x)*cos(x), but instead it converts everything to tan and I get a much more complicated expression:

convert(sin(x)/cos(x)*sin(x), tan)

Can someone help me please?
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