Squiggly Thing

Discrete Mathematics Level pending

Imagine the graph of function \(f(x)=\sin(x)\) restricted to the range of real numbers

\[ \mathbb S = \{x |( -100\pi \leq x \leq 100\pi\} \]

Consider the three sets
\(A=\left\{ x\in \mathbb S|\sin(x)=-1 \right\}\),
\(B=\left\{ x\in \mathbb S|\sin(x)=0 \right\}\) and
\(C=\left\{ x\in \mathbb S|\sin(x)=1 \right\}\).

Which of them has the largest cardinality?

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