Matematika

Pertanyaan

hasil dari contangen 22½

2 Jawaban

  • tan 1 / 2 A = (1 - cos A) / (sin A)
    cot 1 / 2 A = 1 / (tan 1 / 2 A) = (sin A) / 1 - cos A)

    Pembahasan cot 22,5° ⬇️⬇️
    = (sin 45°) / (1 - cos 45°)
    = 1/2 √2 / (1 - 1/2 √2)
    = 1/2 √2 / [1/2 (2 - √2)]
    = 1 + √2 ✔️

    Semoga bermanfaat.... - Prisco
  • rumus trigonometri cot 1/2a = (1 + cos a)/ sin a

    cot 22,5 = cot 1/2. 45
    berarti a= 45°



    cot 22,5=( 1 + cos 45)/sin45
    = ( 1 + √2/2)/ √2/2
    = ( 1 + √2/2) . 2/√2

    = 2/√2 + 1
    = √2 + 1

    semoga mmbantu

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