razones trigonometricas

BIOLOGA

entrada1. En un tringulo rectngulo ABC , se cumple:

cotC+ cotB=4. Calcule:

M = 16senB.senC.cosB.CosC. A)

B)

C) 1

D) 2

E) 4

RESOLUCIN

cotC + cotB = 4

(

Pero:

Luego:

RPTA.: C2. En un tringulo rectngulo si:

Calcular el permetro del tringulo A) 90

B) 120C) 150

D) 75

E) 136

RESOLUCIN

Si:

Se pide:

RPTA.: D3.- En un tringulo rectngulo

Si:

Halle: E = ctgB + secA

A) 13

B) 15

C) 17

D) 19

E) 21

RESOLUCIN

(

RPTA.: C4.-

Si:

Halle:

A)

B)

C)

D)

E)

RESOLUCIN

Dato:

Se pide:

RPTA.: C5.- Si:

(

Calcule:

A) 0

B)

C) 1D) 2

E)

RESOLUCIN

Luego:

1

cot36

RPTA.: CSalida1. En la figura calcule tg(;

Si:

A)

B)

C)

D)

E)

RESOLUCIN

(1) = (2)

EMBED Equation.3 RPTA.: D1. Halle:

A) 1

B) 0

C)2

D) -1

E)-2

RESOLUCIN

E = 1RPTA.: D2. En un tringulo rectngulo

se cumple que:

Halle:

A)0

B) -1

C) -2

D) 2

E) 1

RESOLUCIN

Dato:

RPTA.: A4.-Del grfico. Halle:

A)5

B)

C) 1

D)

E)

RESOLUCIN

*

RPTA.: A5.- Si se verifica que:

Determine:

A)1

B)2

C) 3D)4

E)5

RESOLUCINComo:

Entonces:

Luego:

RPTA.: E

1. En un tringulo rectngulo si la hipotenusa es el doble de la media geomtrica de los catetos. Calcule la suma de las tangentes trigonomtricas de los ngulos agudos del tringulo. A)2

B) 3

C) 4

D)5

E) 6

RESOLUCIN

Si:

Si pide:

Pero:

a + b = c

(E =

RPTA.: C2. En la figura adjunta se cumple que:

Calcular: A)

B)

C)

D)

E)

RESOLUCIN

Si

DCB:

DBA:

RPTA.: D3. Del grfico halle:

A)1

B) C)

D)

E)

RESOLUCIN

(

RPTA.: D4. Halle ctg( del grfico, si:

A)

B)

C)

D)

E)

RESOLUCIN

RPTA.: B5. Si halle:

(tomar: sen37=0,6)

A)

B)

C)

D)

E)

RESOLUCINSe pide:

RPTA.: D6. Si el tringulo ABC es equiltero. Determine tg(.

A)

B)

C)

D)

E)

RESOLUCIN

RPTA.: C7. Si ABCD es un cuadrado y BM=2CM, BN=NA. Calcule sen (.

A)

B)

C)

D)

E)

RESOLUCIN

(

RPTA.: A8. Halle tgx, si ABCD es un cuadrado.

A)

B)

C)

D)

E)

RESOLUCIN

(Tgx =3/16

RPTA.: C9. De la figura, calcule: ctg A)1

B)2C)3

D)4E)5

RESOLUCIN

RPTA.:C10. Siendo ( y las medidas de 2 ngulos agudos tales que:

Halle:

A)1

B)

C)

D)

E)

RESOLUCIN

Datos:

i) cos11(.sec=1(11(= (I)

ii)

EMBED Equation.3

EMBED Equation.3 Piden:

EMBED Equation.3 RPTA.: B EMBED Visio.Drawing.11

EMBED Visio.Drawing.11























Pgina 123CICLO 2007-II

Prohibida su Reproduccin y Venta

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A

D

C

M

3

6

6

2

4

3

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R

R

45

_1248000903.vsd3

B

C

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A

x

37

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16

12

16

13

x

4

53

53

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M

B

A

C

2n

2n

P

60

60

60

30

4n

30

n

30

4n

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53

C

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9K

15K

12K

4K

5K

53

3K

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A

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3a = 6k

60

30

60

8k

60

7k

k

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15

8

9

6

37

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A

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a = 12k

5k = c

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1

1

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45

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a

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razones trigonometricas

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