hitunglah nilai trigonometri 6 cos 15° cos 15° adalah?
Matematika
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Pertanyaan
hitunglah nilai trigonometri 6 cos 15° cos 15° adalah?
2 Jawaban
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1. Jawaban ahreumlim
cos²a = (1 + cos2a) / 2
6 cos 15° cos 15°
= 6 cos²15°
= 6 (1 + cos 2(15°)) / 2
= 3 (1 + cos 30°)
= 3 (1 + 1/2 √3)
= 3 + (3√3) 2 -
2. Jawaban hendrisyafa
cos a cos b = ½ {cos (+) + cos (-)}
Bentuk lain
cos a cos a = cos²a
cos 2a = 2 cos² a - 1
2 cos² a = cos 2a + 1
cos² a = ½ (cos 2a+1)
6 cos 15 cos 15 = 6.½ { cos 30 + cos 0}
= 3 (½√3 + 1}
= ³/2√3 + 3
cos²15 = 6.½.(cos 30+1)
= 3 (½√3 +1)
= ³/2√3 + 3