Matematika

Pertanyaan

buktikan sin 15 = akar 3 - 1 per 2akar 2

1 Jawaban

  • sin(15°)=sin(45-30)
    sin(45-30)=sin(45).cos(30)-cos(45).sin(30)
    sin(15°)=1/2√2.1/2√3-1/2√2.1/2
    sin(15°)=1/4√6-1/4√2
    sin(15°)=√6-√2/4
    sin(15°)=√2(√3-1)/4 x √2/√2 = 2(√3-1)/4√2= √3-1/2√2
    TERBUKTI

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