Page 16 - 新一代技術高中數學C第三冊學習講義
P. 16

Chapter 1 三角函數的應用            11





                           1-1 學習成效驗收                                                                  解析 P.3 ~ 5



                                                   3            5
                    1.  ண adb މቚԉdsin a =  dcos b =               dcos (a + b) ʘ࠽މ                  f
                                                   5            13

                                                                           1              3
                    2.  ண a މୋɧ൥ࠢԉdb މୋ̬൥ࠢԉ˲ tan a =  dsin b = -  dۆ cot(a + b) ʘ࠽މ
                                                                           3              5
                                   f



                                r                           r
                    3.  Ӌ sin (   + i)cos (45c - i) + cos e   + i osin (45c - i) ٙ࠽މ                f
                                4                           4


                    4.  νྡהͪdண aeb ѩމቚԉd˲ӊʃࣸѩމ͍˙Җdۆ
                                                                                                     α     β
                       a + b =              f€౤ͪj΋Ӌ 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
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