1/sina+1-1/sina-1=2sec2a Tolong bantu jawab ya,
Matematika
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Pertanyaan
1/sina+1-1/sina-1=2sec2a
Tolong bantu jawab ya,
Tolong bantu jawab ya,
1 Jawaban
-
1. Jawaban SadonoSukirno
1/a - 1/b = (b-a)/(ab)
jadi seperti diatas aturannya
selain itu (c + d)(c - d) = c² - d²
{1 / (sin a + 1)} - {1 / (sin a - 1)}
= {sin a - 1 - (sin a + 1)} / {(sin a + 1)(sin a - 1)}
= {sin a - 1 - sin a - 1} / {sin²a - 1}
= -2 / {(1 - cos²a) - 1}
= -2 / {1 - cos²a - 1}
= -2 / -cos²a
= 2/cos²a
= 2(1/cos²a)
= 2.sec²a