Inverse Functions

To form an inverse the domain of the below cosine function is limited from 0 radians to 3.141592 radian (π).
The coordinates of these point are (0,1) and (3.141592, -1) The zero point between these coordinates is (π/2, 0)

Remember that the domain of the original function becomes the range of the inverse and
the range of the original function becomes the domain of the inverse.


    


The below graph is of the cosine function's inverse.
The inverse function is written    arccos(x) = y     or    cos-1x = y     Either notation is acceptable.
The domain is    -1 to 1     The range is    0 to π    or   (0 to 3.141592)
Notice that the range and domain of the inverse are reversed on the original cosine function.

    



Lets look at the inverses for the tangent and cotangent functions. next


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