 
 
 
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 | ⎛ ⎜
 ⎜
 ⎜
 ⎜
 ⎝
 |  | ⎞ ⎟
 ⎟
 ⎟
 ⎟
 ⎠
 | 
 |  |  |  |  |  |  |  |  |  |  | 
 | 
 
 
