Page 109 - Math Grade 11 (Basic)
P. 109

PROEUS DARA


               a  m~m nhmJlsu AM  GMG  M  sb  M'  ~g ffltu'l'Ush  0  '1
                     &   1J    c;         I             6\1   c;   U
                               U                         I
               rsm@ruH!1'l::flSGbHici  M  Sti  M'  '1
               C1i   6V   l,j   t   Lj
               u       u
                 0     •  CJ                  I
               ts9lhJ.Hi.Hi:Hli'l::flSuh  M  'l::flS~l:rlM  x   a+ 2kn
               "'  u            1          "
               ts'!:3!'15ti:Hli'l::flSuh  M'  'l::flS~l:rl M n +a  &Ul rutsmtiHMti:Hli'l::flSub  M'  'l::flS~l:rl hl
               c;!J
               u            1           "               "'               1           "
                                                         u
         x  = n+a+2kJt  'iJ  x  = a+(2k+ l)n  '1  t?lOlSut@ru  x  = a+kn  ,  (kEZ)  '1
                         ~                            6\1
                            M@nu  tanx  = a  = tan a  'l::flsm@ru  x  = a+ kn  ,  (k E Z)  '1
                                                         6\1
                     t?llflS  tanu(x)  =  tanv(x)~u(x) =  v(x)+kn  (kEZ)  t!:lrn  u  Sh  v  dl









               l:?llflS  tan3x = tan(::- 2x) ~ 3x = ::- 2x + kn ~ 5x =:: + kn  ,  (k E Z)
                                3              3                3
                 .,        .,        Jt   Jt
               M'!:3fil~'l::flSut'!:3ti5  x  =  - + k- ,  (k E Z)  '1
                           fN        15   5
          0    a  o                   Q
         rutmtH'i3  1     tf:Jl&Ut.flti5M'!:3fil~  tanx  = -0.7456  '1
               ffl'!:3ffldlti~tfilllil'l::fl1jit?10lS  tan36°  = 0.7265  sh  tan3r  = 0.7536  H'i1:i  a'
                                                                                 1
         tana' = 0.7456  '1

               t;?llflS  tan36° <tan a'< tan3r  Sti  tan3r -tan36° = 0.0271
                tana'- tan36°  =  o.ol91  (a'> 36°)  '1  t?1L~1t13'!:3trn  36°  cr~s  ~~ ~~ 191  ,.,42'24"
                                                                            0 1
                                                                         60
               cmns  a' = 36°42'24"  tUiru  -0.7456  = tan(-36°42'24")  '1




                                            tan::- tanx
                                              4
          0    •  0                        __ __ = J3  '1
         ruun 11 f.'l3  2
                                                     Jt
                                           1 + tanxtan
                                                     4
                           tan::- tanx
                              4                    ""    Jt   r;;   .,
                    !:f:Jlru        n:  =  tanG-x)   Sh  tan- = ,y3   M'!:3filHfluMHhl~
                                                         3
                           l + tanxtan
                                    4
         tan( x  ~)  =  tan(-~)







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