Matematika

Pertanyaan

Hitunglah nilai dari
Cos 195º

2 Jawaban

  • cos 195° = cos (150° + 45°)
    = cos 150° cos 45° - sin 150° sin 45°
    = -1/2 √3 . 1/2 √2 - 1/2 . 1/2 √2
    = -1/4 √6 - 1/4 √2

    = -1/4 (√6 + √2)

    = -1/4 √2 (√3 + 1)
  • Cos 195º = ....

    Gunakan sifat
    Cos (A+B) =cosA cosB - sinA sinB
    Cos (180-x) = - cos x

    Cos 150
    = cos( 180-30)
    = -cos 30

    Sin 150
    = sin ( 180-30)
    = sin 30

    Cos 195º =Cos (150+45)
    => cos 150 cos45 - sin 150 sin 150
    => - cos 30 cos45 - sin 30 sin 45
    =>( -1/2 √3 ×1/2 √2 ) -(1/2 ×1/2 √2 )
    =>( -1/4 √6 - 1/4 √2 )
    =>-1/4 (√6 + √2 )

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