10.2.8 Transforming arccos into arctan
The acos2atan command
transforms arc cosines in an expression to arc tangents by using the identity
| arccos(x)= | | −arctan | ⎛
⎜
⎜
⎜
⎜
⎝ | | ⎞
⎟
⎟
⎟
⎟
⎠ | . |
-
acos2atan takes
expr, an expression containing inverse trigonometric functions.
- acos2atan(expr) returns
expr with all instances of acos replaced according to the above formula.
Example
|
| |
| | −arctan | ⎛
⎜
⎜
⎜
⎜
⎝ | | ⎞
⎟
⎟
⎟
⎟
⎠ |
| | | | | | | | | | |
|