bentuk sin c/1+cos c + sinc/1-cos c ekuivalen dengan..
Matematika
nataliafadhita
Pertanyaan
bentuk sin c/1+cos c + sinc/1-cos c ekuivalen dengan..
2 Jawaban
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1. Jawaban bapakdr
= {sin c(1-cos c) + sin c(1+cos c)} / 1 - cos²c
= (sin c - sin c cos c + sin c + sin c cos c) / sin²c
= 2 sin c / sin²c
= 2 / sin c -
2. Jawaban arsetpopeye
(sin c)/(1 + cos c) + (sin c)/(1 - cos c)
= (sin c (1 - cos c) + sin c (1 + cos c))/(1 + cos c)(1 - cos c)
= (sin c - sin c cos c + sin c + sin c cos c) / (1 - cos^2 c)
= (2 sin c) / (sin^2 c)
= 2/(sin c)
= 2 cosec c