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6.23.12  Transforming arctan into arccos: atan2acos

The atan2acos command transforms any atans in an expression to acoss, using the identity

arctan(x) = 
π
2
 − arcsin




x
1+x2






Example.
Input:

atan2acos(atan(x))

Output:

π 
2
−arccos




x
1+x2






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