Matematika

Pertanyaan

Buktikan 2cos(45°+x) cos(135°+x) = sin2x-1

1 Jawaban

  • TriGonoMetRi

    2cos a cos b = cos (a + b) + cos (a - b)

    ••
    2 cos (45 + x) cos (135 - x)
    = cos (45 + x + 135 - x) + cos (45 + x - 135 + x)
    = cos 180° + cos (-90° + 2x)
    = -1 + cos -(90° - 2x)
    = -1 + cos (90° - 2x)
    = -1 + sin 2x
    = sin 2x - 1
    TerBukTi

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