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Direct linkDetchat Samart – International Journal of Mathematical Education in Science and Technology, 2024
For a given rational number r, a classical theorem of Niven asserts that if cos(rp) is rational, then cos(rp) [element-of] {0,±1,±1/2}. In this note, we extend Niven's theorem to quadratic irrationalities and present an elementary proof of that.
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
