Matematika

Pertanyaan

sederhanakan bentuk operasi berikut : (sinx + cosx ) kuadrat + (sinx - cosx) kuadrat

2 Jawaban

  • (y/r + x/r)^2 + (y/r - x/r)^2
    r/r^2 + -r/r^2
    0
  • (sinx + cosx)² + (sinx - cosx)²

    = (sinx + cosx)(sinx + cosx) + (sinx - cosx)(sinx - cosx)

    = sin²x + 2sinxcosx + cos²x + sin²x - 2sinxcosx + cos²x

    = sin²x + sin²x + cos²x + cos²x

    = 2sin²x + 2cos²x

    = 2 (sin²x + cos²x)

    = 2 (1)

    = 2

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