Jika Tan a=5/6 dan Tan B=1/11, maka a+B=.... A.π/6 B.π/4 C.π/3 Dπ/2 E.π
Matematika
rifaldiwally034
Pertanyaan
Jika Tan a=5/6 dan Tan B=1/11, maka a+B=....
A.π/6
B.π/4
C.π/3
Dπ/2
E.π
A.π/6
B.π/4
C.π/3
Dπ/2
E.π
1 Jawaban
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1. Jawaban DragonLord001
tan (a+b) = (tan a + tan b)/1 - tan a tan b
= (5/6 + 1/11) / 1 - 5/6 × 1/11
= (55 + 6 / 66) / 1 - 5/66
= (61 / 66) / (55/66)
= 61 / 55 = akar 3
tan (a+b) = akar 3
tan (a+b) = tan 60 = tan pi/3 (C)