Matematika

Pertanyaan

dik cos a = 1/3, sin b =-1/5 akar 5, brapa nilai tan (a-b)?
Mohon Bantuannya Kawan2

1 Jawaban

  • cos a = 1/3
    ============
    maka 
    √(3²-1²)
    =√8 = 2√2
    =============
    sin a = 2√2 / 3

    tan a = 1/2√2
    tan a = √2/4
    _______________________________

    sin b = -√5/5
    =============
    maka
    √(5²-5) = √20 = 2√5
    ==================
    cos b = -2√5 / 5
    tan b = 2
    ____________________________

    tan(a-b) 
    = (tan a - tan b) / (1 + tan a . tan b)
    = (√2 /4  -  2) / (1 +  2√2 / 4)
    = (√2 - 4) / (4 + 2√2)


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