6.23.11 Transforming arctan into arcsin: atan2asin
The atan2asin command transforms any atans in an
expression to asins, using the identity
| arctan(x) = arcsin | ⎛
⎜
⎜
⎜
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⎝ | | ⎞
⎟
⎟
⎟
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⎠ |
-
atan2asin takes one argument:
expr, an expression containing inverse trigonometric functions.
- atan2asin(expr) returns
expr with any atans replaced by the appropriate
asins.
Example.
Input:
atan2asin(atan(x))
Output:
| arcsin | ⎛
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⎝ | | ⎞
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