Matematika

Pertanyaan

tentukan setiap nilai perbandingan trigonometri jika cos alpa 1/3 dan sudut alpa terletak dikuadran 1

1 Jawaban

  • [tex]\sin{\alpha}=\sqrt{1-(\cos{\alpha})^{2}}=\sqrt{1-(\frac{1}{3})^{2}}=\sqrt{1-\frac{1}{9}}=\sqrt{\frac{9-1}{9}}=\sqrt{\frac{8}{9}}=\frac{2}{3}\sqrt{2}[/tex]

    [tex]\tan{\alpha}=\frac{sin{\alpha}}{cos{\alpha}}=\frac{\frac{2}{3}\sqrt{2}}{\frac{1}{3}}=2\sqrt{2}[/tex]

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