TRiGoNoMeTRi
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ΔABC ⊥ di C
misal θ di B , maka :
sin θ = AC / AB = 5/13
cos θ = BC / AB = 12/13
tan θ = AC / BC = 5/12
csc θ = 1 / sin θ = 13/15
sec θ = 1 / cos θ = 13/12
cot θ = 1 / tan θ = 12/5
#
a + 2b + 3c = 27 ..... 1)
a + b + c = 16 ..... 2)
a = 6 .... 3)
eliminas a pada pers.1 dan pers.2
a + 2b + 3c = 27
a + b + c = 16
----------------------- [ - ]
b + 2c = 11 ..... 4)
subs. pers 3 ke pers 2
6 + b + c = 16
b + c = 10 .... 5)
eliminasi b pada pers.4 dan pers.5
b + 2c = 11
b + c = 10
--------------- [ - ]
c = 1
krn c = 1 , maka
b + c = 10 → b = 9
shg, HP = { a , b , c } = { 6 , 9 , 1 }
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Verified answer
TRiGoNoMeTRi
-
ΔABC ⊥ di C
misal θ di B , maka :
sin θ = AC / AB = 5/13
cos θ = BC / AB = 12/13
tan θ = AC / BC = 5/12
csc θ = 1 / sin θ = 13/15
sec θ = 1 / cos θ = 13/12
cot θ = 1 / tan θ = 12/5
#
a + 2b + 3c = 27 ..... 1)
a + b + c = 16 ..... 2)
a = 6 .... 3)
eliminas a pada pers.1 dan pers.2
a + 2b + 3c = 27
a + b + c = 16
----------------------- [ - ]
b + 2c = 11 ..... 4)
subs. pers 3 ke pers 2
a + b + c = 16
6 + b + c = 16
b + c = 10 .... 5)
eliminasi b pada pers.4 dan pers.5
b + 2c = 11
b + c = 10
--------------- [ - ]
c = 1
krn c = 1 , maka
b + c = 10 → b = 9
shg, HP = { a , b , c } = { 6 , 9 , 1 }
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