Matematika

Pertanyaan

Nilai paling sederhana dari Cot(-390)° + Sec 315°/sin(-45)° × tan 30°

1 Jawaban

  • cot ( -390) = - cot (390)
    = - cot (2.180+ 30)
    = - cot 30°
    = -V3

    sec 315 = sec (360 -45)
    = sec 45
    = V2

    sin (-45) = - sin 45
    = -1/2 V2

    tan 30 = 1/3 V3

    jadi hasilnya
    [tex] = \frac{ - \sqrt{3} + \sqrt{2} }{ - \frac{1}{ \sqrt{6} } } \\ = \sqrt{18} - \sqrt{12 } \\ = 3 \sqrt{2} - 2 \sqrt{3} [/tex]

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