Compiled by Navan Mudali Trigonometry Questions & Solutions - Past Papers NOVEMBER 2008 NicZenDezigns Page 1 of 151 Compiled by Navan Mudali NicZenDezigns Page 2 of 151 Compiled by Navan Mudali NicZenDezigns Page 3 of 151 Compiled by Navan Mudali NicZenDezigns Page 4 of 151 Compiled by Navan Mudali NicZenDezigns Page 5 of 151 Compiled by Navan Mudali NicZenDezigns Page 6 of 151 Compiled by Navan Mudali NicZenDezigns Page 7 of 151 Compiled by Navan Mudali NicZenDezigns Page 8 of 151 Compiled by Navan Mudali NicZenDezigns Page 9 of 151 Compiled by Navan Mudali NicZenDezigns Page 10 of 151 Compiled by Navan Mudali NOVEMBER 2009 NicZenDezigns Page 11 of 151 Compiled by Navan Mudali NicZenDezigns Page 12 of 151 Compiled by Navan Mudali NicZenDezigns Page 13 of 151 Compiled by Navan Mudali NicZenDezigns Page 14 of 151 Compiled by Navan Mudali NicZenDezigns Page 15 of 151 Compiled by Navan Mudali NicZenDezigns Page 16 of 151 Compiled by Navan Mudali NicZenDezigns Page 17 of 151 Compiled by Navan Mudali NicZenDezigns Page 18 of 151 Compiled by Navan Mudali NicZenDezigns Page 19 of 151 Compiled by Navan Mudali NicZenDezigns Page 20 of 151 Compiled by Navan Mudali NicZenDezigns Page 21 of 151 Compiled by Navan Mudali FEBRUARY 2010 NicZenDezigns Page 22 of 151 Compiled by Navan Mudali NicZenDezigns Page 23 of 151 Compiled by Navan Mudali NicZenDezigns Page 24 of 151 Compiled by Navan Mudali NicZenDezigns Page 25 of 151 Compiled by Navan Mudali NicZenDezigns Page 26 of 151 Compiled by Navan Mudali NicZenDezigns Page 27 of 151 Compiled by Navan Mudali NicZenDezigns Page 28 of 151 Compiled by Navan Mudali NicZenDezigns Page 29 of 151 Compiled by Navan Mudali NOVEMBER 2010 NicZenDezigns Page 30 of 151 Compiled by Navan Mudali NicZenDezigns Page 31 of 151 Compiled by Navan Mudali NicZenDezigns Page 32 of 151 Compiled by Navan Mudali NicZenDezigns Page 33 of 151 Compiled by Navan Mudali NicZenDezigns Page 34 of 151 Compiled by Navan Mudali NicZenDezigns Page 35 of 151 Compiled by Navan Mudali NicZenDezigns Page 36 of 151 Compiled by Navan Mudali NicZenDezigns Page 37 of 151 Compiled by Navan Mudali NicZenDezigns Page 38 of 151 Compiled by Navan Mudali NicZenDezigns Page 39 of 151 Compiled by Navan Mudali February 2011 QUESTION 10 10.1 10.2 If sin 28° = a and cos 32°= b, determine the following in terms of a and/or b : 10.1.1 cos 28 (2) 10.1.2 cos64 (3) 10.1.3 sin 4° (4) Prove without the use of a calculator, that if sin 28° = a and cos 32° = b, then b 1 a2 a 1 b2 10.3 1 . 2 (4) Evaluate each of the fo llo wing without using a calculator. Show ALL working. 10.3.1 sin 130. tan 60 cos 540. tan 230. sin 400 (7) 10.3.2 (1 2 sin 75)( 2 sin 75 1) (4) 10.4 Determine the general solution of: sin x cos 2 x cos x 0 (7) 10.5 Consider: 2 cos 2 x. tan x sin 2 x 10.5.1 For wh ich values of x, x [0 ; 180] , will this exp ression be undefined? 10.5.2 Prove that NicZenDezigns (3) cos 2 x. tan x cos x tan x for all other values of x. sin x sin 2 x (5) [39] Page 40 of 151 Compiled by Navan Mudali QUESTION 11 The sketch below shows one side of the elevation of a house. Some dimensions (in metres) are indicated on the figure. E 7,5 D 32 C G 3,5 A F B 9,4 Calculate, rounded off to ONE decimal place: 11.1 EC (3) 11.2 DĈE (3) 11.3 Area of DEC (2) 11.4 The height EF (3) [11] NicZenDezigns Page 41 of 151 Compiled by Navan Mudali QUESTION 12 The graph of f ( x) 2 sin x is drawn below. y 2 f 1 x -180 -150 -120 -90 -60 -30 30 60 90 120 150 180 -1 -2 12.1 Write down the period of f. 12.2 Write down the amplitude of h if h (x ) 12.3 Draw the graph of g ( x ) cos(x 30) for x [180 ; 180] on the grid provided on DIA GRAM SHEET 5. 12.4 Use the graph to determine (1) the f (x ) . 4 number (2) of solutions for (3) 2 sin x cos(x 30) , x [ 180 ; 180] . (1) 12.5 For wh ich values of x is g(x) 0? (2) 12.6 For wh ich values of x is NicZenDezigns f / ( x) 0 and g / ( x) 0 ? (3) [12] Page 42 of 151 Compiled by Navan Mudali NicZenDezigns Page 43 of 151 Compiled by Navan Mudali NicZenDezigns Page 44 of 151 Compiled by Navan Mudali NicZenDezigns Page 45 of 151 Compiled by Navan Mudali NicZenDezigns Page 46 of 151 Compiled by Navan Mudali NicZenDezigns Page 47 of 151 Compiled by Navan Mudali NicZenDezigns Page 48 of 151 Compiled by Navan Mudali November 2011 NicZenDezigns Page 49 of 151 Compiled by Navan Mudali NicZenDezigns Page 50 of 151 Compiled by Navan Mudali NicZenDezigns Page 51 of 151 Compiled by Navan Mudali NicZenDezigns Page 52 of 151 Compiled by Navan Mudali NicZenDezigns Page 53 of 151 Compiled by Navan Mudali NicZenDezigns Page 54 of 151 Compiled by Navan Mudali NicZenDezigns Page 55 of 151 Compiled by Navan Mudali NicZenDezigns Page 56 of 151 Compiled by Navan Mudali NicZenDezigns Page 57 of 151 Compiled by Navan Mudali NicZenDezigns Page 58 of 151 Compiled by Navan Mudali NicZenDezigns Page 59 of 151 Compiled by Navan Mudali NicZenDezigns Page 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Compiled by Navan Mudali MARCH 2017 NicZenDezigns Page 149 of 151 Compiled by Navan Mudali NicZenDezigns Page 150 of 151 Compiled by Navan Mudali ***** SOLUTIONS TO FOLLOW ***** NicZenDezigns Page 151 of 151