Squiggly Thing

Probability Level pending

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

S = { x ∣ ( − 100 π ≤ x ≤ 100 π } \mathbb S = \{x |( -100\pi \leq x \leq 100\pi\}

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

Which of them has the largest cardinality?

C B All three have the same cardinality. A

Clara Blackstone by Clara Blackstone , 32, USA

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