Matematika

Pertanyaan

Jika tan a=0,75 dengan a sudut lancip maka nilai cosec 2a=

1 Jawaban

  • tan a = 0,75 = 3/4
    ===================
    3² + 4² = 25
               = 5²
    ====================
    maka 
    sin a = 3/5
    cos a = 4/5

    1/cosec2a
    = 1/sin2a
    = 1/(2 sin a . cos a)
    = 1/(2 (3/5) . (4/5))
    = 1/(24/25)
    = 25/24

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