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 | ⎛
⎜
⎜
⎜
⎜
⎝ | | ⎞
⎟
⎟
⎟
⎟
⎠ |
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