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Form Five                                                                                                                                          Form Five


          Answers to Exercise 6.1

            1.   x =  8.1cm, h = 12.8676cm
            2.  VW 18.9148 units,= 20 units, UV = 40 units,   42.2949units
                                     37.8297units,UW =  20 5  units,
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            3.  BD 13.4cm=

            4.  JK = 10 cm, KL = 10 cm,  JL = 14.14 cm
                         169          169
            5.   cosecD =    , secD =
                         119          120
                     1                 2 2
            6.  (a)   1 12                  (b)   5

            7.  M =    45 , N°    =  45°

            8.  5 5 cm, 53.13 and 126.87°  °         10. 407 metres

            9.  PR 13.97 cm=                         11. h =  46.86 metres



          Trigonometric identities
          Teaching steps
             1.  Design an activity to enhance students’ understanding on
                 deducing Pythagorean identities using Figure 6.2 in the Student’s
                 Book. Allow them through group discussions to share alternative
                 methods of deducing Pythagorean identities.

             2.  Use Examples  6.4 to 6.10 in  the  Student’s Book to engage
                 students in applying the Pythagorean identities to find solutions
                 of various trigonometric ratios problems. Engage students to
                 use mathematical software to verify the solutions to the given
                 examples.
             3.  Instruct students to attempt Exercise 6.2 in the Student’s Book.
                 Advise them to submit their work. Check the correctness of
                 their answers, and provide them constructive feedback.


                                                 112
         Mathematics for Advanced Secondary Schools



                                                                        30/06/2024   18:02:25
   ADVANCED MATH F.5 TG CHAPTERS.indd   112
   ADVANCED MATH F.5 TG CHAPTERS.indd   112                             30/06/2024   18:02:25
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