Matematika

Pertanyaan

Hitunglah sec 45°+30°-tan 60°

1 Jawaban

  • sec (45° + 30°) = 1/ cos(45° + 30°) 

     cos(45° + 30°) = cos 45° cos 30° - sin 45°sin 30°
    = [(1/2)√2][(1/2)√3]-[(1/2)√2][1/2] =  [(1/4)√6] - [(1/4)√2]

    tan 60° = √3

    jadi  [(1/4)√6] - [(1/4)√2] - √3

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