VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
                            q  sin q                  cosq      tan q
                            0o   0                      1         0
                           30o  12                      3 2       3 3
                           37o  35                     45        34
                           45o   2 2                    2 2       1
                           53o  45                     35        43
                           60o  3 2                    12          3
                           90o   1                      0         ¥
                                        MECHANICS
   a  =    acceleration             F    =   force                  f =  frequency
   h  =    height                   I    =   rotational inertia     J =  impulse
   K  =    kinetic energy           k    =   spring constant        l =  length
   L  =    angular momentum         m    =   mass                   N =  normal force
   P  =    power                    p    =   momentum               r =  radius or distance
   r  =    position vector          T    =   period                 t =  time
   U  =    potential energy         u    =   velocity or speed      W =  work done
   x = position                     m = coefficient of friction     q = angle
   t = torque                       w = angular speed               a = angular acceleration
v = v0 + at
                                      J = ò F dt = Dp                  Pavg =
                                                                              W
                   1                                                          Dt
x = x0 + v0 t + at 2                  p = mv
                   2                                                   P = F × v = F n cos q
v 2 = v0 2 + 2a ( x - x0 )            Ffric £ mN
                                                                            1 2
                                                                       K=     mv
å F = Fnet = ma                       W = ò F × dr                          2
      dp                              W = F ×Dr = F Dr cos q                dW
F=                                                                     P=
      dt                                                                     dt
       dt
 P = F ×v                             L = r  ́ p = Iw                            m
                                                                      TS = 2p
 DU g = mgh                                 1                                   k
                                      K = I w2
       v2                                   2                                   l
 ac =       = w2 r                                                    TP = 2p
       r                              w = w0 + at                               g
 t = r  ́ F = r F sin q                                  1 2                   Gm1 m2 $
                                      q = q 0 + w0 t +    at          FG = -           r
 p = mv                                                 2                        r2
 J = F Dt = Dp                        FS = - kx                                Gm1 m2
                                                                      UG = -
 å t = t = Ia
            net                       US =
                                              1 2
                                                kx
                                                                                  r
                                              2
 I = ò r dm = å mr
          2              2
                                            2p 1
                                      T=        =
 r = å mr / å m
  cm                                        w      f
 v = rw
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