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arctan(tan(pi/2)) =pi/2 ?

Sage evaluates tan(pi/2) to unsigned infinity which is true, but I want the above expression to work. Any way?

When I apply arctan(tan(pi/2)) it gives error. Shouldn't it return pi/2.

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arctan(tan(pi/2)) =pi/2 ?

Sage evaluates tan(pi/2) to unsigned infinity which is true, but I want the above expression to work. Any way?

When I apply arctan(tan(pi/2)) it gives error. Shouldn't it return pi/2.

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No.3 Revision

arctan(tan(pi/2)) =pi/2 ?

Sage evaluates tan(pi/2) tan(pi/2) to unsigned infinity which is true, but I want the above expression to work. Any way?

When I apply arctan(tan(pi/2)) arctan(tan(pi/2)) it gives error. Shouldn't it return pi/2.pi/2.