Matematika

Pertanyaan

nilai dari sin 30°+cos 330°+sin 150° dibagi tan 45°+cos 210°=

1 Jawaban

  • sin 30° = ½
    cos 330° = cos (360°-30°) = cos 30° = ½√3
    sin 150° = sin (180°-30°) = sin 30° = ½
    => ½+½+½√3
    => ½(1+1+√3)
    => ½(2+√3)
    => 2/2 + √3√2
    => (2+√3)/2

    tan 45° = 1
    cos 210° = cos (180°+30°) = -cos 30° = -½√3
    => 1+(-½√3)
    => 2/2-½√3
    => (2-√3)/2

    => (2+√3)/2 : (2-√3)/2
    => (2+√3)/(2-√3)
    => (4+2(2√3)+3)/(4-3)
    => (7+4√3)

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