What is the domain and range of cos^-1(tanh x)?

1 Answer
Douglas K.
May 17, 2017

The domain is x in RR the range is y in RR: 0 < y < pi

Explanation:

The domain of the tanh(x) function is any real number: x in RR

The range of the tanh(x) function is y in RR: -1 < y < 1; this does not exceed the domain of the cos^-1(x) function but it will never be able to force it to the values 0 and pi.

Therefore, the range of is : y in RR: 0 < y < pi

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