Matematika

Pertanyaan

Tolonggggggg no 37 sama caranya thankss
Tolonggggggg no 37 sama caranya thankss

1 Jawaban

  • sin3x = 3 sinx - 4 sin³x
    cos3x = 4 cos³x - 3 cosx

    sin6x
    = 2 sin3x . cos3x
    = 2(3 sinx - 4 sin³x) (4 cos³x - 3 cosx)
    = 2 (12 sinx . cos³x - 9 sinx . cosx - 16 sin³x . cos³x + 12 sin³x . cosx)
    = 2 sinx . cosx (12 cos²x - 9 - 16 sin²x . cos²x + 12 sin²x)
    = sin2x (12(cos²x + sin²x) - 9 - 4 sin²2x)
    = sin2x (12 - 9 - 4 sin²2x)
    = sin2x (3 - 4 sin²2x)
    = 3 sin2x - 4 sin³2x   ** E**