Matematika

Pertanyaan

Diketahui sin 20° = p. Nyatakan nilai trigonometri berikut dalam p
a. Cos (-70°)
b. Sin 200°
c. Cotan 340°
d. Sec 610°

1 Jawaban

  • [tex]Trigonometri [/tex]

    jika sin 20° = p, cos 20° = √(1-p²)
    karena sin²20° + cos²20° = 1

    a. cos (-70°) = cos(70°)
    = cos(90° - 20°)
    = sin(20°) = p

    b. sin(200°) = sin(180° + 20°)
    = - sin(20°)
    = - p

    c. cot(340°) = cot(360° - 20°)
    = - cot(20°)
    = - cos(20°)/sin(20°)
    = - √(1-p²)/p

    d. sec(610°) = sec(360°+ 250°)
    = sec(250°) = sec(270°-20°)
    = - csc(20°)
    = - 1/sin(20°)
    = - 1/p


    semoga membantu

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