6.23.8 Transforming arccos into arctan: acos2atan
The acos2atan command transforms any acoss in an
expression to atans, using the identity
| arccos(x) =
| | − arctan | ⎛
⎜
⎜
⎜
⎜
⎝ | | ⎞
⎟
⎟
⎟
⎟
⎠ |
-
acos2atan takes one argument:
expr, an expression containing inverse trigonometric functions.
- acos2atan(expr) returns
expr with any acoss replaced by the appropriate atans.
Example.
Input:
acos2atan(acos(x))
Output:
| −arctan | ⎛
⎜
⎜
⎜
⎜
⎝ | | ⎞
⎟
⎟
⎟
⎟
⎠ |