# 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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