Matematika

Pertanyaan

matematika wajib trigonometri
mohon dibantu teman teman dan terima kasih
matematika wajib trigonometri mohon dibantu teman teman dan terima kasih

1 Jawaban

  • BC =
    [tex] \sqrt{ {39}^{2} - {36}^{2} } [/tex]
    BC =
    [tex] \sqrt{225} = 15[/tex]
    2a.
    [tex] \sin( \beta ) = \frac{15}{39} = \frac{5}{13} [/tex]
    b.
    [tex] \cos( \beta ) = \frac{36}{39} = \frac{12}{13} [/tex]
    c.
    [tex] \tan( \beta ) = \frac{15}{36} = \frac{5}{12} [/tex]
    d.
    [tex] \csc( \beta ) = \frac{1}{ \sin( \beta ) } = \frac{13}{5} [/tex]
    e.
    [tex] \sec( \beta ) = \frac{1}{ \cos( \beta ) } = \frac{13}{12} [/tex]
    f.
    [tex] \cot( \beta ) = \frac{1}{ \tan( \beta ) } = \frac{12}{5} [/tex]
    3.
    1/2 + 1/2 = 1

    4.
    [tex] \tan(a - b) = \tan(60 - 30) \\ = \tan(30) = \frac{1}{3} \sqrt{3} [/tex]
    5. sisi depan = 12
    sisi samping = 6
    sisi miring =
    [tex] \sqrt{ {12}^{2} + {6}^{2} } = \sqrt{144 + 36} \\ = \sqrt{180} = 6 \sqrt{5} [/tex]
    [tex] \sin( \alpha ) = \frac{12}{6 \sqrt{5} } = \frac{2 \sqrt{5} }{5} [/tex]
    sin di kuadran 2 jadi nilainya positif
    [tex] \cos( \alpha ) = - \frac{6}{6 \sqrt{5} } = - \frac{ \sqrt{5} }{5} [/tex]
    cos bukan di kuadran 2 jadi nilainya negatif