Page 125 - Math SL HB Sem 1
P. 125

ra        Qvptkv ns tr,v.r)
                                       P"^rl  Y     "s



              l. [Maximum  mark:  6J
            q\
                 Letp:sin 40.and q:cosl10..
                                              Give your answers  to the following  in terms of p and/or  q.

                 (a) Write down an expression  for
                 (i) sinl40";                                                               [2  marksJ
                 (ii) cos70".                                              A"t,   P
                                                                           Ant       ^
                 (b) Find an expression  for cosl40..
                                                                                ys ,,r,,lrr1
                                                                                              h.t,  aoL"-l
                c) Find an expression  for tan /p".
                                                                                 []  markJ    tunt ,    Y
                                                                                                     2L'-l

             a - ${aximun  mark:  6J

          \                                                                         : a tol'A    -l
                 G)   Grven rhat .".1   =  1-  and 0 s  -{ S  t  . fild cos 2,.t  has
                                         l)                                                         [3  markJ

                                        -)-                                          .'kiq
                 (lr)  Grven thirt sur B  =  a  nr,,l 1<  B s r, fiud cos.B               G
                                        32                                     A*s                  [i  morksJ
                                                                                           3


            I .  [Maximnn  mark.- 6]
                 ,r.*"O*           shows triangle  peR_
           (                !:r?w                      The length of  [pe]  is 7 clr  . the lengrh of  [pR]
                 is l0 cm, and PQR rs 75".






                                                                             diagrant  ot to
                                       7
                                                                                 scale



                                                     l0 cm                R


                G)  Find  PF|.Q.
                                                                             Anr:    +L-90        [j  rnarkJ

                (b)  Furd the area of kiangle  peR                           Ar,'    jt.ocw     1
                                                                                                  [3  markJ
   120   121   122   123   124   125   126   127   128   129   130