Matematika

Pertanyaan

Jika sin a=3/5 dan cot b=24/7 maka sin(a-b)=

1 Jawaban

  • sin a = 3/5
    ===============
    5² - 3² = 16
               = 4²
    ===============
    maka cos a = 4/5

    cot b = 24/7
    ============
    24² + 7² = 625
                  = 25²
    ============
    maka 
    cot b = 1/tan b
    tan b = 7/24
    sin b = 7/25
    cos b = 24/25

    sin(a - b)
    = sin a . cos b  -  cos a . sin b
    = (3/5) (24/25)  -  (4/5) (7/25)
    =  (72/125) - (28/125)
    = 44/125

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