10.2.12 Transforming arctan into arccos
The atan2acos command
transforms any arc tangents in an expression to arc cosines by using the identity
| arctan(x)= | | −arcsin | ⎛
⎜
⎜
⎜
⎜
⎝ | | ⎞
⎟
⎟
⎟
⎟
⎠ | . |
-
atan2acos takes
expr, an expression containing inverse trigonometric functions.
- atan2acos(expr) returns
expr with all instances of atan replaced according to the above formula.
Example
|
| |
| | −arccos | ⎛
⎜
⎜
⎜
⎜
⎝ | | ⎞
⎟
⎟
⎟
⎟
⎠ |
| | | | | | | | | | |
|