Matematika

Pertanyaan

buktikan 1 - cos 2alpha / sin 2alpha = tg alpha

1 Jawaban

  • cos 2 alpha = cos(alpha + alpha)
    = cos alpha cos alpha - sin alpha sin alpha
    = cos^2 alpha - sin^2 alpha
    = 2 cos^2 - 1 alpha
    = 1 - 2 sin^2 alpha

    sin 2 alpha = sin( alpha + alpha)
    = sin alpha cos alpha +cos alpha sin alpha
    = 2 sin alpha cos alpha

    tan alpha = sin alpha / cos alpha
    Gambar lampiran jawaban tahtalvina02

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