Niven's theorem states that if "x over pi" and "sine x" are both of this type, then sine x equals positive or negative 0, 1, or 1/2.
Niven's theorem states that if "x over pi" and "sine x" are both of this type, then sine x equals positive or negative 0, 1, or 1/2. A Farey sequence consists of these numbers, which are generalized by the p-adics. The set of these numbers is topologically dense and their algebraic closure is the set of algebraic numbers. They are countably infinite and form a subset of the real numbers. These numbers have either terminal or repeating decimals, and the set of these is symbolized by a bold letter Q. For 10 points, name these numbers that can be expressed as quotients of two integers.
Niven's theorem states that if "x over pi" and "sine x" are both of this type, then sine x equals positive or negative 0, 1, or 1/2.
rational numbers 