Matematika

Pertanyaan

jika cos A=m/n,maka cos 2A=

1 Jawaban

  • Trigonometri

    cos A = m/n

    x = m
    r = n
    y = √n² - m²

    sin A = y/r
    = (√n² - m²)/n

    cos 2A
    = cos² A - sin² A
    = (m/n)² - (( √n² - m²)/n)²
    = (m²/n²) - (n² - m²) /n²
    = ( m² - n² + m²) /n²
    = (2m² - n²)/n²

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