Matematika

Pertanyaan

Bantu dong buat dikumpulkan besok
[tex] (cos \frac{11}{6} \pi + sin \frac{\pi}{3} ) \div (tan \frac{\pi}{6} + cot \frac{4}{3} \pi)[/tex]

1 Jawaban

  • 11/6 π = 11/6 × 180° = 330°
    cos 330° = cos 30° = 1/2 √3

    sin (π/3) = sin (180°/3) = 1/2 √3

    tan (π/6) = tan (180°/6) = 1/√3

    cot (4/3 π) = cot 240° = 1/√3

    soal
    = (1/2 √3 + 1/2 √3) : (1/√3 + 1/√3)
    = √3 × √3/2
    = 3/2

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