Advanced Mathematics - Inverse circular functions
Inverse circular functions
Because circular functions are periodic, they are not one-to-one functions
and hence do not have an inverse. In order for inverses to be created, the
domain must be restricted. The restricted domain must map onto the entire
range of the original function. To some extent the restriction is
arbitrary, but there is a conventional definition conveniently close to the
origin of the axis system.
The restricted functions and the inverses are listed below:
You will need to be able to sketch transformations of these functions, and
adjust the restricted domain.
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