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# Reduccion al primer cuadrante

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### Transcript

• 1. Liceo Naval &#x201C;Germ&#xE1;n Astete&#x201D; REDUCCI&#xD3;N AL PRIMER CUADRANTE Trigonometr&#xED;a 5&#xBA; Sec. EJERCICIOS DE APLICACI&#xD3;N 9. Simplificar : E Csc (270 &#xBA; x) Sec (90 &#xBA; x) E Sen ( x) Cos ( x) Sec (360 &#xBA; x) Csc (180 &#xBA; x) 1. Reducir : E = + Sen x Cos x a) -1 b) 0 c) 1 d) 2e) 2 Tg x a) -1 c) -2 c) 0 d) 1 e) 3 2. Reducir : E = Sen (-x) Csc (-x) + Tg x Sen ( x) Tg x 10. Reducir : E = 2 Ctg (-x) Ctg (2 x) Sen (2 x) a) 0 b) -1 c) 1 d) 2 e) -2 a) 1 b) 2 c) -1 d) -2 e) 3 Sen ( x) Tg (x y) 11. Simplificar : 3. Simplificar : + Sen x Tg ( y x) Sen (90 &#xBA; x) Tg (270 &#xBA; x) E= + 3 Sen x Tg x a) 1 b) 2 c) -2 d) -1 e) 0 2 2 4. Calcular el valor de Sen 120&#xBA;.Cos 330&#xBA; a) -2 b) -1 c) 0 d) 1 e) 2 12. Simplificar : a) 3 /4 b) 3 /2 c) 1/4 E = Cos10&#xBA; + Cos20&#xBA; + Cos30&#xBA; + &#x2026; + Cos170&#xBA; d) 3/4 e) 1 + Cos180&#xBA; 5. Calcular el valor de : a) 1 b) 0 c) -1 d) 1/2 e) -1/2 E = Sen 150&#xBA; - Cos 120&#xBA; + Tg 135&#xBA; 13. Si : x + y = 2 . Calcular : a) -2 b) -1 c) 0 d) 1 e) 2 Tg x + Sen x + Tg y + Sen y 3 Sen 20&#xBA; 2 Cos 110&#xBA; a) 1 b) 2 c) -1 d) 0 e) -2 6. Simplificar : Cos 70&#xBA; 14. Si : + = 270&#xBA;, reducir : Sen a) 1 b) 2 c) 3 d) 4 e) 5 + Tg Tg Cos 7. Afirmar si es &#x201C;V&#x201D; &#xF3; &#x201C;F&#x201D; : a) -1 b) -2 c) 0 d) 1 e) 2 I. Tg ( - x) = -Tg x 15. Calcule Tg si ABCD es un cuadrado II. Csc (2 - x) = Csc x 3 B C III. Cos x = -Sen x a) -11/3 2 4 b) 11/7 c) -7/4 a) FVF b) VFV c) FVV 7 d) -11/4 d) VFF e) VVF e) 7/3 Tg ( x) Cos (x ) D 8. Reducir : - A Tg ( x) Cos (2 x) a) 2 b) -3 c) 1 d) 2 e) 5 Profesor: Justo R&#xED;os Cabrera.