Clase Del 9/Marzo/2011

En esta clase nos dedicamos a resolver problemas.

a) Convertir 45° 25' 55'' a Radianes

                1'-6o''
                x'-55''
         55''(1')/60''=0.916'
             
     0.916+25= 45° 25.91

                25.91
            1-60'
           x°-25.91'
       (25.91') (1°) / 60'=0.431°
  
     0.413°+54°= 45.431

             1°-pi/180 rad
    45.431°-X rad                            X= 0.792 Radianes
**********************************************************************************
b) 89° 42' 39''

    1'-60''                                                         1°-60'
    x'-39''                                                         x°-42.65'
39''(1') /60''= 0.65                                        (42.65') (1) /60= 0.710

0.65+42= 45.65'                                             0.710+89= 89.710                           
                                                                     
                                                 1°-pi /180 Rad.
                                          89.710°-X rad.                     X= 1.565 Radianes

Después vimos Funciones Trigonométricas ángulos 30°, 60°, 45°

 * Sus Lados miden 2.

                                                                                sen 30°=1/2= 0.5
                                                                                cos 30°= raíz de 3/2= 0.866
                                                                                tan 30°= 1/ raíz de 3= 0.577
                                                                                csc 30°=2/1= 2

                         sec 30°=2/ raíz de 3= 1.154

                         cot 30°= raíz de 3/1= 1.732

c2=a2+b2

 a2=c2-b2

 a2=2(2)-1(2)

  4-1

a= raíz de 3

                              sen 60°= raíz de 3/2= 0.866

                              cos 60°= 1/2= 0.5

                             tan 60°= raíz de 3/1= 1.732

                              csc 60°= 2/raíz de 3= 1.154

                              sec 60°= 2/1= 2

                              cot 60°= 1/raíz de 3= 0.577                      

                                                                            sen 45°= 1/raíz de 2= 0.7071

                                                                                 cos 45°= 1/raíz de 2= 0.7071

                                                              tan 45°= 1/1= 1

                                                                                csc 45°= raíz de 2/1= 1.414

                                                                                sec 45°= raíz de 2/1= 1.414

                                                             cot 45°= 1/1=1

  


EJERCICIO:

problema: 62° 2' 25'' sexagesima a radianes.

1°- 60°
x - 25''

25'' (1)/ 60° = 0.416'                                   1°- 60'
                                                                      x' - 5.416'
sumo 0.416+ los 5'
                                                                                   (5.416') (1)/ 60° = .09026°
  5.416'                                                                         sumo a 62° 0.9026°
 62° 5.416'                                                                          es= 62.09026°
                                                                                       
                                                             1°-pi/180
                                              62.09026° - x rad                X= 1.083Radianes