Matematika

Pertanyaan

Jika theta di kuadran 1 dan tan theta = 5/12, nilai tan 4theta / 5 =....

1 Jawaban

  • jwab
    theta = t

    tan t = 5/12
    tan 2t = (2 tan t) / ( 1 - tan² t)  =(10/12) /  (1-  (25/144))
    = 12(10)/) ( 144 -25)
    = 120 /119

    tan 4t = 2 tan 2t / 1 - tan² 2t)
    =  2 (120/119) / ( 1 - (120/119)²
    = 2(120)(119) /(119²-120²)
    = 28.560 / -239 = -119,5

    (tan 4t)/ 5 = -23,9

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