Matematika

Pertanyaan

tan 60 - tan 45 / 1 + tan60.tan 45
[tex] \tan(60) - \tan(45) \div 1 + \tan(60 \times \tan(45) ) [/tex]

2 Jawaban

  • tan(60) = √3
    tan(45) = 1

    Jadi 
    √3 - 1/1 + tan(60 x 1)
    =√3 - 1 + √3
    =2√3 - 1
  • [tan 60° - tan 45°] / [1 + tan 60° tan 45°]
    = [√3 - 1] / (1 + √3 . 1]
    = (√3 - 1)/(√3 + 1) . (√3 - 1)/(√3 - 1)
    = (3 - √3 - √3 + 1) / (3 - 1)
    = (4 - 2√3) / 2
    = 2 - √3

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