Matematika

Pertanyaan

NILAI SIN 105 + COS 15 =

Mohon bantuannya ya!

1 Jawaban

  • sin 105
    sin (45+60)= sin 45°.cos 60°-cos 45°.sin60°
    = (1/2 akar 2×1/2)-(1/2 akar 2×1/2 akar3)
    =1/4 akar 2-1/4 akar 6
    =1/4 (akar 2-akar 6)
    = 1/4 akar -4

    cos 15
    cos (45-30) = cos 45.cos 30+sin 45.sin 30
    = (1/2 akar 2×1/2 akar 3)+(1/2 akar 2×1/2)
    = 1/4 akar 6 + 1/4 akar 2
    = 1/4 (akar 6+akar 2)
    = 1/4 akar 8

    maka sin 105+cos 15 = 1/4 akar -4 + 1/4 akar 8
    = 2/4 akar 4
    = 1/2 akar 4



    maaf kalau salah^^

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