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Removed square brackets around character count, removed "s" after "exist"
ProgramFOX
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Ti-Basic, 56 Chars

While 1:Output(8,int(7sin(X)+8),"!":Disp "":π/30+X→X:End

The following caveats exist:

  1. Due to screen limitation of 16X8, this sin wave only has an amplitude of 7 (period of 60 is still maintained

  2. Due to lack of a | char, the ! is used instead

  3. Due to lack of a system timer, the delay is not implemented. However, run speed appears approximately correct.