1+cos 45+cos^2 45+cos^3 45+..?
Matematika
leksonhatulusan
Pertanyaan
1+cos 45+cos^2 45+cos^3 45+..?
2 Jawaban
-
1. Jawaban Anonyme
Deret Geometri Tak Hingga
1 + cos 45 + cos² 45 + ...
a = 1
r = cos 45 = 1/√2
S~
= a/(1 - r)
= 1/(1 - 1/√2)
= √2 / (√2 - 1)
= √2 (√2 + 1)/(2 - 1)
= 2 + √2 ✔ -
2. Jawaban Anonyme
S= a/(1-r)
=1/(1-1√2)
= √2/(√2-1)
= √2(√2+1)/(2-1)
= 2+√2
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