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Form Five                                                            Form Five


          Answers to Revision Exercise 6

                       15 135 168   +           315 8 135   −
            1.  (a)    −                        (b)  −       
                          −
                       315 8 135                   408     
         FOR ONLINE READING ONLY

               (c)  15 135 168−
                        408

                     x −  9   2    y −  7   2  4x −  2  46x +  94
            2.  (a)       +        =  1    (b)  y =
                     4       15                 x −  2  10x +  16
                 (c)  x =  ( 21 y−  2 )                    (d)  yx +  3  12x −  2  256 0=

                                     3sin3θ                     cos3y
            3.  (a)  2tan 2θ      (b)  −        (c)  tan x−       (d)
                                        4                       cos8y

            5.  (a)  460°           (b) 316.55°       (c)  429.7°      (d)  150−  °

                   73              19
            6.  (a)   π        (b)    π
                   72              30

                                     35             9641
            7.  (a)  − 3π         (b)  −  π           (c)   π
                                     6             14400

                                   4                 9
                        2
            8.  (a) 9θ +           (b)                     (c)  −                (d) 6θ 2
                                   3                 8
            10. (a)  144.1 , 58.5 ,35.9 ,121.5−  °−  °  °  °        (b) 139.26 , 107.38° −  °

                                    (1 2 ) n
                               ππ −
                    π
            11. (a)  2 n π  , 2 n +  ,
                               2      5
                                     1
               (b) θ   2 n , or 2 n +  π
                        π =
                                π
                                     2
                       2      1             2     1
               (c) θ    π =  n  π+  , or θ  −  π =  n +  π
                       5     10             3     6
               (d) θ   360 n°+ 69.2 or θ =  °  =  360 n°− 32.3°


                                  131
                                             Mathematics for Advanced Secondary Schools



                                                                        30/06/2024   18:02:33
   ADVANCED MATH F.5 TG CHAPTERS.indd   131
   ADVANCED MATH F.5 TG CHAPTERS.indd   131                             30/06/2024   18:02:33
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