Respuestas
Respuesta:
Explicación paso a paso:
Las operaciones con medidas angulares deben efectuarse separadamente con cada unidad efectuando las conversiones necesarias aplicando regla de tres simple
Factores de conversión
1° = 60'
1' = 60"
π = 180°
a)
220° + 57° 50'
= 219° 60' + 57° 50'
= (219 + 57)° + (60 + 50)'
= 276° + 110'
= 276° + 60' 50'
= (276 + 1)° + 50'
= 277° 50'
b)
72° 26' + 7° 18'
= (72 + 7) + (26 + 18)
= 79° 44'
c)
12° + 85' + 0.256° + 56.009°
= 12° 85' + 0.256x60' + 56° + 0.009x60'
= 12 ° + 1° + 25' + 15' + 0.35x60" + 56° + 0.54x60"
= (12 + 1 + 56)° + (25 + 15)' + (21 + 32.4)"
= 69° 40' 53.4"
d)
420.85° + 0.256° + 56°12'30"
= 420° + 0.85x60' + 56° 12' + 30"
= 420° + 51' + 52° + 12' + 30"
= (420 + 52)° + (51 + 12)' + 30"
= 472° + 63' + 30"
= 472° + 1° + 03' 30"
= 473° 03' 30"
e)
3π - (2/5)π
= (3 - 2/5)π
= (15/5 - 2/5)π
= (13/5)π
f)
(5/3)π + (7/4)π
= (5/3 + 7/4)π
= [(20 + 21)/12]π
= (41/12)π
g)
(11/3)π - 270°
= (11/3)π - (270/180)π
= (11/3)π - (3/2)π
= (11/3 - 3/2)π
= [(22 - 9)/6]π
= (13/6)π