semana 11

Encontrar las funciones faltantes y el ángulo de A y B.

1. Cos= 6/7= 31° 0’

A=√c²-b²= 3.60

Sen a= 3.60/7= 30° 56’

Tg a= 3.60/6= 30°57’

Sen b=6/7= 31° 0’

Tg b= 6/3.60= 59° 2’

2. Sen= 3/10= 17° 27’

B=√c²-a²= 9.53

Cos a= 9.53/10= 17° 38’

Tg a= 3/9.53= 17° 28’

Sen b= 9.53/10= 72° 21’

Cos b= 3/10=72° 32’

Tg b= 9.53/10= 72° 31’

3. Tg= 9/7= 52° 7’

C=√a²+b²= 11.40

Sen a= 9/11.40= 52° 8’

Cos a= 7/11.40= 52° 7’

Sen b= 7/11.40= 37° 52’

Cos b= 9/11.40= 37° 51’

Tg b= 7/9= 37° 52’

4. Tg= 36/35= 45° 48’

C=√a²+b² =50.20

Sen a= 36/50.20= 45° 49’

Cos a= 35/50.20= 45° 47’

Sen b= 35/50.20= 44° 12’

Cos b= 36/50.20= 44° 10’

Tg b= 35/36= 44° 11’

5. Cos= 7/21= 70° 31’

A=√c²-b²= 19.79

Sen a= 19.79/21= 70° 21’

Tg a= 19.79/7= 70° 31’

Sen b= 7/21= 19° 28’

Cos b= 19.79/21= 19° 32’

Tg b= 7/19.79= 19° 28’

6. Sen= 5/36= 7° 59’

B=√c²-a²=35.65

Cos a= 35.65/ 36= 7° 59’

Tg a= 5/35.65= 7° 59’

Sen b= 35.65/36= 82° 0’

Cos b= 5/35.65= 82° 0’

Tg b= 35.65/5= 82° 0’

semana 11

19 de mayo del 2011  

1. Sen a = 1/9 = 6° 22’

B=√c²+a²

Cos a= 8.94/9= 6° 37’

Tg a= 1/8.94= 6°22’

2. Cos a= 3.5/7.4= 61° 46’

a=√c²-b²

Sen a= 6.51/7.4= 61°36’

Tg a= 6.51/3.5= 61° 44’

3.  Tg a= 3/5= 30°57’

C=√a²+b²

Sen a= 3/5.83= 30° 58’

Cos a= 5/5.83= 30°56’

4. Tg a= √5/√3=2.23/1.73= 52° 11’

 C=√a²+b²

Sen a= 2.23/2.82= 52° 15’

Cos a= 1.73/2.82= 52° 9’

5. Cos a= 5.17/10.15= 59° 22’

a=√c²-b²

Sen a= 8.73/10.15= 59° 19’

Tg a= 8.73/5.17= 59° 21’

6. Sen a= 15/20=48°35’

B=√c²+a²

Cos a= 13.22/20= 48°37’

Tg a= 15/13.22= 48° 36’

7. Tg a= √15/7= 3.87/7= 28° 56’

C=√a²+b²

Sen a= 3.87/7.99= 28° 58’

Cos a= 7/ 7.99= 28° 49’

8. Cos a= 9/√101= 9/10.04= 26° 18’

a=√c²-b²

Sen a= 4.44/10.04= 26° 14’

Tg  a= 4.44/9= 26° 14’

9. Tg a= 5/9.27= 28° 20’

C=√a²+b²

Sen a= 5/10.53= 28° 20’

Cos a= 9.27/10.53= 28° 18’

semana 11

Calcular los < de los sig. Triángulos.

1.C=√a²+b²

C=√27.5²+36.5²=45.7

Sen. B= 36.5/45.7= 53° 0’

Cos B= 27.5/45.7= 53°0’

Tg B= 36.5/27.5= 53° 0’

2. a=√c²-b²

 a=√30²-15²= 25.9                 

Sen A= 25.9/30= 59° 41’

Cos A= 15/30= 59° 53’

Tg A= 25.9/15= 59° 55’

3. b=√c²-b²

 B=√5²-3²=4

Sen B= 4/5= 53° 7’

Cos B= 3/5= 53° 7’

Tg B= 4/3= 53° 7’

4. C=√a²+b²

C=√13.5²+21.7²= 25.5

Sen A=21.7/25.5= 58° 19’

Cos A=13.5/25.5= 58° 2’

Tg B= 13.5/21.7= 58° 6’

5. C=√a²+b²

C=√9.17²+3.15²= 9.69

Sen A= 3.15/9.69= 18°58’

Cos A= 9.17/9.69= 18°51’

Tg B= 9.17/3.15=18° 52’

6. b=√c²-b²

B=√3.5²-2.3²= 2.6

Sen B= 2.6/3.5= 47°58’

Cos B=2.3/3.5=47° 55’

Tg B=2.3/2.6=47° 29’

7. C=√a²+b²

C=√37.96²+41.80²= 40.31

Sen A= 37.96/56.46= 42° 14’

Cos A= 41.80/56.4= 42° 10’

Tg A= 37.96/41.80= 42° 14’

8. a=√c²-b²

A=√45.6²-21.3²= 40.31

Sen B= 21.3/45.6 =27° 50’

Cos B= 40.3/45.6= 27° 53’

Tg B= 21.3/40.31= 27° 51’

Semana 10 solucion de triangulo rectangulo.

1.Sen A= 7/9.22= 49° 23’

Cos A= 6/9.22= 49° 24’

Tg A= 7/6= 49° 23’

2.Sen A= 5/6.4= 51° 22’

Cos A= 4/6.4= 51° 19’

Tg A= 5/4= 51° 20’

3.Sen A= 3/5= 36° 52’

Cos A= 4/5= 36°52’

Tg A= 3 / 4= 36° 52’

4.Sen A= 15/25.80= 35°32’

Cos A= 21/25.80= 35° 30’

Tg A= 15/21= 35° 32’

5.Sen A= 15/37= 23° 54’

Cos A= 33.82/37= 23° 55’

Tg A= 15/33.82= 23° 55’

6.Sen B= 7.48/9= 56° 12’

Cos B= 5/9= 56° 15’

Tg B= 7.48/5= 56° 14’

7.Sen B= 16/21.93= 46° 51’

Cos B= 15/21.93= 46° 50’

Tg B= 16/15= 46° 50’

8.Sen B= 8.9/21= 25°4’

Cos B=19/21= 25° 12’

Tg B= 8.9/19= 25° 5’

9.Sen B= 27/35= 50° 28’

Cos B= 22.2/35= 50° 37’

Tg B= 27/22.2= 50° 34’

10.Sen B= 35/58.60= 36° 40’

Cos B= 47/58.60= 36° 40’

Tg B= 35/47= 36° 40’