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9.2.12  Transforming arctan into arccos

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

arctan(x)=
π
2
−arcsin⎛
⎜
⎜
⎜
⎜
⎝
x
√
1+x2
⎞
⎟
⎟
⎟
⎟
⎠
. 

Example

atan2acos(atan(x))
     
π 
2
−arccos⎛
⎜
⎜
⎜
⎜
⎝
x
√
1+x2
⎞
⎟
⎟
⎟
⎟
⎠
          

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