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Find the principal value of each of the following:
Then, cos y =
We know that the range of the principal value branch of is [0,] and cos
Therefore, the principal value of is .
Find the domain of definition of f(x) = cos–1(x2–4).
Find the domain of f(x) = cos–12x + sin–1x.
Find the domain of f(x) = cos–1 x + cos x.
For the principal values, evaluate each of the following: