Consider the system of equations \( \cos ^{-1} x+\left(\sin ^{-1} y\right)^{2}=\frac{p \pi^{2}}{...

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Consider the system of equations \( \cos ^{-1} x+\left(\sin ^{-1} y\right)^{2}=\frac{p \pi^{2}}{4} \) and \( \left(\cos ^{-1} x\right)\left(\sin ^{-1} y\right)^{2}=\frac{\pi^{4}}{16}, p \in Z \)
Which of the following is not the value of \( y \) that satisfies the system of equations?
(1) 1
(2) \( -1 \)
(3) \( \frac{1}{2} \)
(4) none of these
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