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Form Five                                                                                                                                          Form Five


          Answers to Exercise 6.8

                   π           4π         π          3π         2π
            1.  (a)             (b)         (c)         (d)  −       (e)
                   6            3         2           4          9
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                   3π          7π         9π
               (f)            (g)          (h)
                    2           4          4
            2.  (a) 60°        (b) 300°       (c)  210°     (d)  120−  °

               (e) 540°        (f)  252°      (g) 382.5°       (h) 360°
                    π  11π         π  5π         π  3π          7π  11π
            3.  (a)    ,        (b)   ,       (c)   ,       (d)    ,
                    6   6          44            44              6   6
                   3π  5π         π   4π
               (e)    ,        (f)   ,
                    4   4          3  3
            4.  (a)   28.07°       (b) 98.55°     (c)  135.22−  °
               (d)  48.70−  °         (e) 251.53°    (f)  291.06−  °

                                                                7ππ
            5.  (a)  1.14       (b) 0.559     (c) 1.48        6.   ,
                                                                12 4
                    7π             11π           5π
            7.  (a)              (b)           (c)
                     8              36            9
                                   2π            3π
            8.  (a)  0.71π       (b)           (c)             9. 360 , 135°  °
                                    3             4
            10. (a)   64.3−  °       (b) 270°      (c)  114.6−  °         (d)  439.3°



          Approximating small angles
          Teaching steps
             1.  Through discussions guide students how to apply the concept
                 of small angle approximations to approximate values of the
                 principal trigonometric functions.
             2.  Through discussion assist students how to perform Activity
                 6.4 in the Student’s Book and recognize geometrical properties
                 of  small  angles. Advise  students  to  share  their  findings  for
                 improvement.


                                                122
         Mathematics for Advanced Secondary Schools



                                                                        30/06/2024   18:02:29
   ADVANCED MATH F.5 TG CHAPTERS.indd   122                             30/06/2024   18:02:29
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