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Applications in Trigonometry
2017/07/04 06:08:21瀏覽41|回應0|推薦0
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Applications in Trigonometry

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圖片參考:http://imgcld.yimg.com/8/n/HA00967484/o/701106040077813873455670.jpg a(i)我識做.. Answers : (a)(ii) 35.8度 (b) P: 11.3度,Q: 21.8度

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最佳解答:

a ii) cos ∠KBC = BC/BD = 3/5 Then KC2 = 52 + 92 - 2 x 5 x 9 cos ∠KBC = 52 KC = √52 Thus tan θ = √52/10 θ = 35.8 b) tan ∠BPD = BD/DP = 3/2 ∠BPD = 56.3 With Φ = 45, P has to turn through an angle of 56.3 - 45 = 11.3 QK2 = QC2 + CK2 = 152QB2 = QC2 + CB2 = 181Then in triangle QKB:KB2 = QB2 + QK2 - 2(QB)(QK) cos ∠KQBcos ∠KQB = 0.928cos ∠KQB = 21.8

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