Matematika

Pertanyaan

tolong ni caranya saya belom sma sekali ngerti mencari nilai trigonometeinya ,
1) ( sin 150 + cos 60 ) / ( tan 225 - sin 300 ) =....
2) ( cos 135 + sin 30 ) / ( tan 45 - cos 315 ) =......

1 Jawaban

  • 1) (sin 150° + cos 60°) / (tan 225° - sin 300°)
    => (sin 30° + sin 30°) / (tan 45 - (-sin 60°))
    => (2 × ½) / (1 + ½√3)
    => 1/(1+½√3)
    => (1-½√3)/(1-¾)
    => (1-½√3)/¼
    => (1-½√3) × 4
    => 4 - 2√3

    2) (cos 135° + sin 30°) / (tan 45° - cos 315°)
    => ((-cos 45°) + sin 30) / (tan 45° - cos 45°)
    => ((-½√2)+½) / (1-½√2)
    => (½-½√2)(1+½√2) / (1-½)
    => (½+¼√2-½√2-½) / ½
    => (¼√2-½√2) × 2
    => ½√2 - √2

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