how many possible values for y are there where y = cos⁻¹0?\n\na. 1\nb. 2\nc. 0\nd. infinite

Answer:

A. 1

Explanation:

Step1: Recall inverse - cosine range

The inverse - cosine function, $y = \cos^{-1}x$, has a range of $[0,\pi]$.

Step2: Solve for $y$ when $x = 0$

We know that $\cos y=0$ and $y\in[0,\pi]$. In this range, $y=\frac{\pi}{2}$ is the only solution. So there is 1 possible value for $y$ when $y = \cos^{-1}0$.