Technical Mathematics Grade 12 IEB Paper 2 2019 Information Sheet

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: TECHNICAL MATHEMATICS: PAPER II – INFORMATION SHEET Page i of ii INFORMATION SHEET –b ± b 2 – 4ac b 4ac − b2 x = x= y= 2a 2a 4a a x = b ⇔ x = loga b , a > 0 , a ≠ 1 and b > 0 = A P (1 + n i ) = A P (1 − n i ) = A P (1 + i ) n = A P (1 − i ) n m  im  = ieff  1+  −1  m    f ( x + h) − f ( x ) f / ( x ) = lim h →0 h 1 x n +1 ∫ x dx = ∫x= n ln( x ) + C , x >0 dx +C , n ≠ −1 n +1 ax ∫ x a dx =+ C , a>0 ln a  x + x2 y1 + y 2  = ( x2 – x1 ) 2 + ( y 2 – y1 ) 2 M 1 ; 2  d  2 = y mx + c y – y1 = m ( x – x1 ) y 2 – y1 m = m = tanθ x2 – x1 x2 y 2 + = 1 a2 b2 a b c In ∆ABC: = = sin A sin B sin C a= 2 b 2 + c 2 – 2 b c.cos A 1 area ∆ ABC = a b.sin C 2 sin2 θ + cos2 θ 1 = 1 + tan2 θ sec = 2 θ cot 2 θ + 1 =cosec 2θ IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: TECHNICAL MATHEMATICS: PAPER II – INFORMATION SHEET Page ii of ii π rad = 180° Angular velocity= ω= 2π n= 360°n where n = rotation frequency Circumferencial velocity= n= π Dn where D = diameter and n = rotation frequency s = rθ where r = radius and θ = central angle in radians rs r 2θ = Area of a sector = where r = radius, s = arc length and 2 2 θ = central angle in radians 4h 2 − 4dh + x 2 = 0 where h = height of segment, d = diameter of circle and x = length of chord  o + on  = AT a  1 + o2 + o3 + o4 + . . . + on −1  where a = equal parts,  2  o i = i th ordinate and n = number of ordinates OR o1 + o2 A T= a ( m1 + m2 + m3 + . . . + mn ) where a = equal parts, m1 = 2 and n = number of ordinates IEB Copyright © 2019