Matematika

Pertanyaan

1/sina+1-1/sina-1=2sec2a
Tolong bantu jawab ya,

1 Jawaban

  • 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

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