Matematika

Pertanyaan

-1 + cosec kuadrat 45 derajat = cotan kuadrat 45 derajat

2 Jawaban

  • - 1 + csc²45° = cotan²45°
    -1 + (akar2)² = 1²
    -1 + 2 = 1
    1 = 1
  • Bab Trigonometri
    Matematika SMA Kelas X

    cara pertama, identitas
    -1 + cosec² a = cot² a

    cara ke dua
    -1 + cosec² 45°
    = -1 + (1/(sin 45°))²
    = -1 + (1/(1/√2))²
    = -1 + √2²
    = -1 + 2
    = 1

    cotan² 45° = (1/(tan 45°))²
    cotan² 45° = (1/1)²
    cotan² 45° = 1

    terbukti

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