Page 16 - 新一代技術高中數學C第三冊學習講義
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Chapter 1 三角函數的應用 11
1-1 學習成效驗收 解析 P.3 ~ 5
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1. ண adb މቚԉdsin a = dcos b = dcos (a + b) ʘ࠽މ f
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1 3
2. ண a މୋɧࠢԉdb މୋ̬ࠢԉ˲ tan a = dsin b = - dۆ cot(a + b) ʘ࠽މ
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f
r r
3. Ӌ sin ( + i)cos (45c - i) + cos e + i osin (45c - i) ٙ࠽މ f
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4. νྡהͪdண aeb ѩމቚԉd˲ӊʃࣸѩމ͍˙Җdۆ
α β
a + b = fͪjӋ tan (a + b)
5. ʷᔊ cos 175ccos 25c + sin 175csin 25c = f
4
6. ߰ 90c < i < 180c ˲ sin i = dۆ cos 2i ٙ࠽މ f
5
7. ༊Ӌ sin 52.5c cos 52.5c cos 105c = f
5
8. ߰ tan a + tan b = dtan (a + b) = 1dۆ tan a × tan b = f
6
9. ʷᔊ tan 170c × tan 55c + tan 170c + tan 55c ʘ࠽މ f
2
2
10. ண tan adtan b މ x - 3x + 2 = 0 ʘՇ࣬dۆ cos (a + b) ʘ࠽މ f
r
11. ߰ f (x) = 2cos e - x o - 2cos x - 3 ٙ௰ɽ࠽݊ Mdۆ M = f
3
1
12. ߰ aeb ޫމቚԉ˲ tan a = dcot b = 3d༊Ӌ sec (a + b) = f
2
1
13. ண sin i - cos i = d༊Ӌ sin 2i = f
3
4
14. ண tan 2i = dӋ tan i = f
5