Page 85 - Math Grade 11 (Basic)
P. 85

PROEUS DARA

                       C(   I   tt::::),   (;f   I   J
                 H2f:i'i:Hln~M~ShHS?ll:Hlnn~hl~'i:fi82'U rr  tumg  'ilxE R  ,  'ilxEZ  ,
                   I                1    U          1.1
           tan   +rr)  = tanx  il§j  tan(x+krr)  = tanx  sh  cot(x+rr)  = cotx  i12J

           cot(x+krr)  = cotx  '1  ctl9t9iHS?l'i§S  y  = tanax  sh  v  =  cotax  'i:fl82tl  T  = ~ '1
                                 u      1                   ·             u       ial
                    "'          1                                         ,    2rr   2rr
           SintniM       y  = sin-x  'i:fiS?,'U  T  =  8rr  ,  v  =  cos(-3x)  'i:fi22'U  T  =  -  =  -
                                2       H            •                1.J     l-31   3
                       "'          l
                 H91'11§8  y  =  3tan x  'i:fiS~'U  T  =  2rr  ,  y  = cot5x  'i:fi8~'U  T  = ~  '1
                                  2









              Ll'11hED  ,  -xED  ,  f(-x)  =  f(x)
                            cl   f!}   0   t               r;t         C)   •
              - f  ctlH9?l'i§S'i:fiStt!SnillH'i  D  '1  f  ctlH9l'l'i§Sttutu~purHnLI'l'U xED  ,  -xED,

              f(-x)  = -f(x)

                                         C)   0   I             I   ':I                Q)
                         y  =  x-sinx  'i:fiStt!SnCUln  D  =  R  '1  Ln'Unt~ xED  ,  -xED  t'UHi1
                                                                                  "'
           f(-x)  =   x- sin(-x)  =  -(x- sinx)  =  -f(x)  '1  ~msg y  =  x  sinx  ctlHf:j?l'i§Sthlhl '1
                                                     { kn}          · "
                                   .,
                            3
                                            •
                                       o
                 y  = tanxcofx  'i:fiStt!SnCUln  D  = R    kEZ  l3'Unt~  xED  ,  -xED
                                                      2
                                    3
            tffiru  f(-x)  = tan(-x)cot -(x) = tanOcot\-x)  = tanxcot\ = f(x)   '1
                 tltH S g  y  =  tanxcot\
                 u


                 - UfiltitSH 8 n'i§S t to hl'i:fiS 1'1 rnn'i'i§liJctltlntig  '1
                                               w
                            1                         ~  w
                                                1        I
                        ~       el     tJ            tJ
                 - LflltltSH 9 n'i§S~'tflSHnJHH 1:t1 tsctlHnJ~g '1
                                                         I


                   0   I                      ef   0   I   0   I
                 IHHlJH'i:  y  =  sinx  ctlH91'1'i§S  nCUl&itHmgLn'U  xER  '1

              2U  :  ctlHSn'i§S2'U  ttl ru'tf1S2'U  p  = 2rr  tf:tl ru  sin(x + 2rr)  = sinx  nlih Mnn
              1.J         1     1.1        1.1                                         li'
                  ct           Cl1         t::l)   '1:>    ct           t::.)J
           HSI'l'i§S  y  = sinx  tru  [-rr,  rr]  t'Ul115UflltltSHSn'i§S  y  =  sinx  trutHS'U
              1                                        I                    ~
                                         0.:::::.   eJ   Q)   0           eJ
           [(2k-l):n:,  (2k+ l):n:]  QlStf:tlrumrummru  [-:n:,  rr]  G~s 2rr  fi1'i§HnJ  (x'x)  '1





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