Matematika

Pertanyaan

cos 45° / sec30°+csc 30°

1 Jawaban

  • Kelas 10 Matematika
    Bab Trigonometri

    cos 45° / (sec 30° + cosec 30°)
    = (1/2 √2) / (2/3 √3 + 2)
    = (1/2 √2) / (2 + 6)/3
    = (3√2)/(4 + √6) . (4 - √6)/(4 - √6)
    = (12√2 - 3√12)/(4² - √6²)
    = (12√2 - 3 . 2√3)/(16 - 6)
    = (12√2 - 6√3)/10
    = (6√2 - 3√2)/5

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