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4. Pruebe la identidad: a. cos(r + [) + sen(x - ) =0 b. sen(r + y) - sen(x - y) = 2cos(r)sen(y) c. cos(x

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4. Pruebe la identidad: a. cos(r + [) + sen(x - ) =0 b. sen(r + y) - sen(x - y) = 2cos(r)sen(y) c. cos(x + y)cos(x - y) = cos(r) - sen-(y) 5. En cada caso hallar sen(2r), cos(2r) y tan(2r) dada la siguiente informacion: a. tan(r) = -4, I en el cuadrante II b. sen(r) = - , I en el cuadrante III c. sec(r) = 2, r en el cuadrante IV 6. Use la formula apropiada del angulo medio para hallar el valor exacto de: a. cos(165) b. tan (22.5) c. cos( 12) 7. Muestre que: a. sen(130") - sen(1109) = -sen(109) b. cos(100) - cos(200) = sen(50") 8. Encuentro las soluciones de cada ecuacion trigonometrica: a. (tan'8 - 4)(2cos3 + 1) = 0 b. (4sen'8 - 3) (8cos38 - 4) = 0 c. sen-3 - seng - 2 = 01. Escriba cada expresion trinometrica en terminos de seno y coseno y simplifique: a. sina + cotacosa b. cos20(1 + tan20) C. cote call -send 2. Verifique cada identidad: a. cos Bsecs = cot B b. tanB + cotB = secBcse8 C. SECT CACT d. (1 - cos3x) (1 + cot2x) = 1 3. Usando la identidad de la suma o la resta, hallar el valor exacto de: a. tan (159) b. Sen(150) c. cos (195")

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