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Question: RE: how to check 'arctan(omega*L/R)' is the same as 'arctan(R, L*omega)'

Question:RE: how to check 'arctan(omega*L/R)' is the same as 'arctan(R, L*omega)'

pik1432 230 Maple 2020
assumptions evalb verification arctan
March 08 2021
2

Hello there, 

I would think that those two expressions are same as long as L::positive, omega::positive, R::positive, but when I tried in Maple, I could not get that result. The following worksheet shows my attempts. Would you please tell me how to get the answer, true, instead of false from the expression comparison?


 

> 

restart:
> 

arctan_expression := arctan(omega*L/R);

arctan(omega*L/R)

 (1)
> 

arctan_expression2 := arctan(R, L*omega);

arctan(R, L*omega)

 (2)
> 

evalb(arctan_expression = arctan_expression2) assuming L::positive, omega::positive, R::positive;

false

 (3)
> 

is(arctan_expression = arctan_expression2);

false

 (4)
> 

 


Best Regards, 

In Kwon Park 

Download Q20210308.mw

 
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