Matematika

Pertanyaan

(cos 45 + sin 45)^2 + (sin 45 + cos 45)^2 =

1 Jawaban

  • [cos(45°) + sin(45°)]² + [sin(45°) + cos(45°)]²
    = 2[sin(45°) + cos(45°)]²
    = 2[sin²(45°) + cos²(45°) + 2sin(45°)cos(45°)]
    = 2[1 + sin(90°)]
    = 2(2)
    = 4

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