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3 0.5 3sen 4cos 5C) 2sen 1 cos 2 cos
2 Determine un intervalo de valores
1 3 de:
D) 2sen 1 sen sen
2 2
A) 1;1 B) 0;2 C) 1;3
1 3
E) 2cos 1 cos cos D) 2;4 E) 3;4
2 2
278. En la figura mostrada determine el
274. En una circunferencia trigonomé-
área de la región sombreada en u2.
trica, calcule la suma de las
distancias del extremo del arco “4”
con los puntos: Origen de arcos,
C
origen de complementos y origen de
suplementos.
A) 4sen 2 B) 4sen 1
4 4 A’ A
C) 4cos 2 D) 4cos 2
4 4
E) 1 C.T. T
275. Sabiendo que:
5 A) 0.5cos cot tan sen
3 x1 x2 B) 0.5cos cot tan sen
2
Cuántas de siguientes afirmaciones C) 0.5cos cot tan sen
son verdaderas: D) 0.5cos cot tan sen
I. sen (- x1) > sen (x2) E) 0.5 cos sen tan tan
II. cos (x1) > - cos (x2)
III. tan (|x1|) < tan (|x2|)
IV. |tan(x1)| > tan (|x2|) Funciones trigonométricas II
279. Determine el dominio de la función f,
A) 1 B) 2 C) 3 definida por:
D) 4 E) 5 .
3
276. Siendo 3 ; , determine la A) B)
6 4
variación de: C) D)
sen3 .cos cos3 .sen E)
1 1 1 1 280. Determine el dominio de la función
; B) ;1 C) 0;
4
A) g, definida por:
4 4 4
1 .
D) 1;0 E) ;0
4
A) B)
277. Sabiendo que:
42
, C) D) C) [–5; –1] D) 2;2
E)
E) 285. Determine el dominio de la función
G, definida por:
281. Sea la función h, definida por: G(x) = |tan (3x)| + |cot(2x)|, n
h x cot x cot x ;n ,
2 4 A) B)
determine el complemento del rango C) C)
de la función h.
E)
A) 2 2 2;2 2 2 286. Calcule el periodo mínimo de la
B) 6 2 2;6 2 2 función h, definida por:
C) 4 2 2;4 2 2 h(x) = |5 sec (5x)| + 5|csc (5x)|
D) 5 2 2;5 2 2
A) B) C)
E) 3 2 2;3 2 2 10 5 2
D) E)
282. Sea 6 3
F(x) = cot (cot (sen (cos (x))); n ,
determine el complemento del 287. Determine el dominio de la función
dominio de F. g, definida por:
A) g(x) = 5 + 7 cot (4x), n Z
B)
C) A) B)
D)
C) D)
E)
283. Determine el rango de la función H, E)
definida por:
sec x csc x 288. Determine el dominio de la función
H x F, definida por:
sec x csc x
F x cot x tan x ,x 0;2
A) 2; 2 B)
7 3
C) 2; 2 1;1 A) 0; ; B) 0;
4 4 2
D) 1;1 E)
3
C) 0; ; D) 0;2
2 2
284. Determine el rango de la función f,
definida por: E) 0;
csc x
f x 3
csc 2x
289. Sea
;
A) B) 5; 1
43
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