Matematika

Pertanyaan

2xcos45° / 1-(sin 45°)²

1 Jawaban

  • 2(cos45) / 1 - (sin45)²

    = 2 (1/2 √2) / 1 - (1/2 √2)²
    = √2 / 1 - 1/4 (2)
    = √2 / 1 - 1/2
    = √2 / 1/2
    = 2√2

    → Atau menggunakan identitas :
    [ cos 45 = x ]

    2(cos45) / 1 - (sin45)²
    → 2 (cosx) / 1 - sin²x

    = 2cosx / 1 - sin²x
    = 2cosx / cos²x
    = 2 / cosx
    = 2 / cos45
    = 2 / 1/2√2
    = 2 / √2 / 2
    = 2 x (2 / √2)
    = 4 / √2
    = 4√2 / √2 . √2
    = 4√2 / 2
    = 2√2

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