Matematika

Pertanyaan

diketahui sin x + cos x = 1 dan tan x = 1, tentukan nilai sin x dan cos x

1 Jawaban

  • sinx + cosx = 1
    sinx = 1 - cosx

    tanx = 1
    sinx/cosx = 1
    1 - cosx / cosx = 1
    1 - cosx = cosx
    2cosx = 1
    cosx = 1/2

    sinx = 1 - cosx
    sinx = 1 - 1/2
    sinx = 1/2


    cosx = 1/2
    x = 60˚ dan 300˚


    sinx = 1/2
    x = 30˚ dan 150˚

Pertanyaan Lainnya