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complete the statement. y = cos^{-1}x means that x = _______, for 0 ≤ y…

Question

complete the statement.
y = cos^{-1}x means that x = _______, for 0 ≤ y ≤ π.
y = cos^{-1}x means that x = \boxed{}, for 0 ≤ y ≤ π.

Explanation:

Step1: Recall the definition of inverse cosine function

The inverse cosine function \(y = \cos^{-1}x\) (also written as \(y=\arccos x\)) is defined such that if \(y = \cos^{-1}x\), then \(x=\cos y\), where the domain of \(y=\cos^{-1}x\) is \(- 1\leq x\leq1\) and the range is \(0\leq y\leq\pi\).

Answer:

\(\cos y\)