Question

complete the statement.
y = cos - 1x means that x = ____, for 0 ≤ y ≤ π.
y = cos - 1x means that x = □□, for 0 ≤ y ≤ π.

Explanation:

Step1: Recall the definition of inverse cosine function

The inverse cosine function \(y = \cos^{-1}x\) is defined as the inverse of the restricted cosine function \(y=\cos x\) where \(x\in[0,\pi]\) and \(y\in[- 1,1]\). By the definition of inverse functions, if \(y = \cos^{-1}x\), then \(x=\cos y\) for \(0\leq y\leq\pi\).

Answer:

\(\cos y\)