Buktikan bahwa: 4 cos 4x cos 5x - 5 sin 4x sin 5x = 1/2 (9 cos 9x - cos x)
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Buktikan bahwa:
4 cos 4x cos 5x - 5 sin 4x sin 5x = 1/2 (9 cos 9x - cos x)
4 cos 4x cos 5x - 5 sin 4x sin 5x = 1/2 (9 cos 9x - cos x)
1 Jawaban
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1. Jawaban whongaliem
4.cos 4x .cos 5x - 5 sin 4x .sin 5x = 1/2 (9.cos 9x - cos x)
2 (2.cos 4x .cos 5x) + 5/2 (- 2 sin 4x .sin 5x) = 1/2 (9 cos 9x - cos x)
2{cos(4x +5x) +cos(4x - 5x)}+5/2{cos (4x +5x) - cos(4x - 5x) = 1/2(9cos 9x - cos x)
2(cos 9x + cos - x ) + 5/2 (cos 9x - cos - x) = 1/2 (9 cos 9x - cos x)
2 (cos 9x + cos x) + 5/2 (cos 9x - cos x ) = 1/2 (9 cos 9x - cos x)
2.cos 9x + 2.cos x + 5/2 cos 9x - 5/2 cos x = 1/2 (9.cos 9x - cos)
9/2 cos 9x - 1/2 cos x = 1/2 (9 cox 9x - cos x)
1/2 (9 cos 9x - cos x) = 1/2 (9 cos 9x - cos x) .... terbukti ....