6.23.10 Transforming arcsin into arctan: asin2atan
The asin2atan command transforms any asins in an
expression to atans, using the identity
| arcsin(x) =
arctan | ⎛
⎜
⎜
⎜
⎜
⎝ | | ⎞
⎟
⎟
⎟
⎟
⎠ |
-
asin2atan takes one argument:
expr, an expression containing inverse trigonometric functions.
- asin2atan(expr) returns
expr with any asins replaced by the appropriate atans.
Example.
Input:
asin2atan(asin(x))
Output:
| arctan | ⎛
⎜
⎜
⎜
⎜
⎝ | | ⎞
⎟
⎟
⎟
⎟
⎠ |