1+tan30+tan^2 30+tan^3 30+...?
Matematika
leksonhatulusan
Pertanyaan
1+tan30+tan^2 30+tan^3 30+...?
2 Jawaban
-
1. Jawaban Anonyme
Deret Geometri Tak Hingga
1 + tan 30 + tan² 30 + ...
a = 1
r = tan 30 = 1/√3
S~
= a/(1 - 1/√3)
= √3 / (√3 - 1)
= √3 (√3 + 1) / (3 - 1)
= (3 + √3)/2 ✔ -
2. Jawaban Anonyme
S= a/(1-1/√3)
= √3/(√3-1)
= √3(√3+1)/(3-1)
=( 3+√3)/2
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