auxiliarextra2012.pdf - INTRODUCCI\u00d3N AL C\u00c1LCULO Oto\u00f1o 2012 Profesor Ra\u00fal Uribe Auxiliares Braulio S\u00e1nchez Ib\u00e1\u00f1ez CLASE AUXILIAR EXTRA

# auxiliarextra2012.pdf - INTRODUCCIÓN AL CÁLCULO Otoño...

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Unformatted text preview: INTRODUCCIÓN AL CÁLCULO Otoño 2012 Profesor: Raúl Uribe Auxiliares: Braulio Sánchez Ibáñez CLASE AUXILIAR EXTRA Trigonometría y Axioma del Supremo P1. Resuelva las siguientes ecuaciones: (a) 1 + cos(x) + cos(2x) + cos(3x) = 0 (b) tan(2x) + cot(x) = 8 cos2 (x) (c) sin(2x) + cos(2x) = tan(x) P2. Para el esquema de la gura, demostrar que: H= sin(α) sin(γ − β) L sin(γ − α) P3. Determine supremo, máximo, ínmo y mínimo de los siguientes conjuntos:   1 (a) A = :n∈N 4n + 1   [ 1 1 (b) B = , 4n + 1 4n n∈N   1 (c) C = (−1)n + : n ∈ N − {0} n  (d) D = x ∈ Q : 1 ≤ x2 ≤ 2 ...
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