 
 
 
10.2.11  Transforming arctan into arcsin
The atan2asin command
transforms any arc tangents in an expression to arc sines by using the identity
| arctan(x)=arcsin | ⎛ ⎜
 ⎜
 ⎜
 ⎜
 ⎝
 |  | ⎞ ⎟
 ⎟
 ⎟
 ⎟
 ⎠
 | . | 
- 
atan2asin takes
expr, an expression containing inverse trigonometric functions.
- atan2asin(expr) returns
expr with all instances of atan replaced according to the above formula.
Example
|  | | | arcsin | ⎛ ⎜
 ⎜
 ⎜
 ⎜
 ⎝
 |  | ⎞ ⎟
 ⎟
 ⎟
 ⎟
 ⎠
 | 
 |  |  |  |  |  |  |  |  |  |  | 
 | 
 
 
