Act. dom. 9 - Resolución

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Actividades domiciliarias 9 - Resolución 1)

2)

︿

a) sen α = ︿

8 cm 13 cm

︿

︿

β = 52º 1′ 8′′

α = arc sen 0, 6154 α = 37º 58′ 52′′

︿

︿

b) tg γ = ︿

4 cm 7 cm

︿

δ = 90º − 29º 44′ 37′′

tg γ = 0, 5714

︿

︿

δ = 60º 15′ 23′′

γ = arc tg 0, 5714 γ = 29º 44′ 37′′

︿

︿

c) cos ξ = ︿

6,8 cm 8,3 cm

︿

π = 90º − 34º 59′ 6′′

cos ξ = 0, 8193 ︿

︿

π = 55º 54′′

ξ = arc cos 0, 8193

︿

ξ = 34º 59′ 6′′

3) 1 2

−

1 2

+

︿

β = 90º − 37º 58′ 52′′

sen α = 0, 6154

2.1

= 2

√3 2 √3 2 √3 2

−

1

+

−

1

+

−

1

+

1 = √3 1 . √3 = √3 √3 √3 = 5√3 3 6

−1

2.

√2 2

(1

+

1 2

√2 +

3 2 1 2

−

√2 2

)

2

=

− √2

= 3

1 + 1 +

2

( ) 1 √3 1 3

2

−

( )

−

3 4

√3 2

√3 2 1 2

+

2 √ . 3 5

=

+ 3 . √3 +

2 √ . 3 5

=

+ 3 .

7 12

+

17 √ 3 5