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Another useless post about funny trig...

There were some posts here about areas, and then they made me think (yes, it's possible, sometimes Wink)
The area of a L shape squared surface is easy to calculate :



If I draw a circle centered in O, passing through (a,b)and (b,a), saying the radius = 1, then I can write :
a=cos(a) and b= sin(a)
then :

By the same way:
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