Fun with infinite sets

Geometry Level 1

Imagine the graph of function the \(f(x)=\sin(x).\) The domain of this function is the set of all real numbers \(R.\)

Consider the three sets

  • \(A=\left\{ x\in \mathbb R|\sin(x)=-1 \right\}\)
  • \(B=\left\{ x\in \mathbb R|\sin(x)=0 \right\}\)
  • \(C=\left\{ x\in \mathbb R|\sin(x)=1 \right\}.\)

Which of them has the largest cardinality?

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