Set 4 — 2026 past papers

  1. 4.01: Tangent and cosine graphs0606/22/F/M/26 — Question 6 · 5 marks
  2. 4.02: Trigonometric identities and equations0606/22/F/M/26 — Question 9 · 12 marks
  3. 4.03: Trigonometric simplification0606/11/M/J/26 — Question 3 · 4 marks
  4. 4.04: Cosine graph0606/12/M/J/26 — Question 1 · 5 marks
  5. 4.05: Trigonometric identity0606/12/M/J/26 — Question 7 · 3 marks
  6. 4.06: Trigonometric sketches0606/13/M/J/26 — Question 5 · 3 marks
  7. 4.07: Cosine function and graph0606/21/M/J/26 — Question 2 · 7 marks
  8. 4.08: Cosecant equation0606/21/M/J/26 — Question 9 · 5 marks
  9. 4.09: Trigonometric equation0606/22/M/J/26 — Question 10 · 6 marks
  10. 4.10: Trigonometric identity and equation0606/23/M/J/26 — Question 6 · 8 marks
  11. 4.11: Trigonometric equation in radians0606/23/M/J/26 — Question 12 · 7 marks

Set 3 — 2021–2025 past papers

  1. 3.107: Amplitude and period of cosine0606/11/O/N/25 — Question 1 · 5 marks
  2. 3.108: Equilateral triangle and sec identity0606/13/O/N/25 — Question 6 · 7 marks
  3. 3.109: Arrangements and letter selections0606/21/O/N/25 — Question 3 · 5 marks
  4. 3.110: Sec identity and equation0606/21/O/N/25 — Question 4 · 6 marks
  5. 3.111: Chord of intersection of line and curve0606/23/O/N/25 — Question 6 · 9 marks
  6. 3.112: Sec/tan quadratic in a double angle0606/23/O/N/25 — Question 7 · 6 marks
  7. 3.53: Modulus equation and sine graph sketch0606/11/M/J/25 — Question 5 · 5 marks
  8. 3.54: Definite integral and reciprocal trig identity0606/12/M/J/25 — Question 4 · 5 marks
  9. 3.55: Perpendicular bisector and triangle area0606/21/M/J/25 — Question 4 · 7 marks
  10. 3.56: Small change for y=x2tan⁡(x/2)y = x^{2}\tan(x/2)0606/21/M/J/25 — Question 5 · 4 marks
  11. 3.57: Exponential function and inverse sketch0606/21/M/J/25 — Question 7 · 4 marks
  12. 3.58: Composite function equation0606/22/M/J/25 — Question 3 · 4 marks
  13. 3.59: Derivative of product and normal0606/22/M/J/25 — Question 4 · 9 marks
  14. 3.60: Area between chord and curve0606/22/M/J/25 — Question 8 · 11 marks
  15. 3.61: Sec/cosec and compound-angle equations0606/22/M/J/25 — Question 9 · 10 marks
  16. 3.62: Binomial expansion coefficients0606/23/M/J/25 — Question 7 · 5 marks
  17. 3.11: Cosine graph: find a, b and c0606/12/F/M/25 — Question 2 · 3 marks
  18. 3.12: Completing the square and inverse of a quadratic0606/12/F/M/25 — Question 5 · 8 marks
  19. 3.13: Tan given: cos, sin, sec + cot0606/12/F/M/25 — Question 6 · 5 marks
  20. 3.14: Composite exponential function0606/22/F/M/25 — Question 7 · 5 marks
  21. 3.15: Sin³ identity and triple-angle equation0606/22/F/M/25 — Question 8 · 7 marks
  22. 3.95: Cosine graph parameters from diagram0606/11/O/N/24 — Question 3 · 4 marks
  23. 3.96: Cosine curve through two points0606/12/O/N/24 — Question 1 · 7 marks
  24. 3.97: Cot identity and derivative of tan0606/12/O/N/24 — Question 5 · 6 marks
  25. 3.98: Stationary point and sketch0606/13/O/N/24 — Question 1 · 6 marks
  26. 3.99: Sketch y=4+5sin⁡2θy=4+5\sin 2\theta0606/13/O/N/24 — Question 2 · 4 marks
  27. 3.100: Tan + cot equals sec cosec0606/21/O/N/24 — Question 1 · 3 marks
  28. 3.101: Derivative of tan x − x and integral0606/21/O/N/24 — Question 2 · 4 marks
  29. 3.102: Circular measure composite shape0606/21/O/N/24 — Question 6 · 8 marks
  30. 3.103: Selections including Abby and Ben0606/22/O/N/24 — Question 7 · 6 marks
  31. 3.104: Cot and cosec equation0606/22/O/N/24 — Question 8 · 6 marks
  32. 3.105: Binomial terms equal0606/23/O/N/24 — Question 7 · 7 marks
  33. 3.106: Sine equation and shaded area0606/23/O/N/24 — Question 8 · 7 marks
  34. 3.37: Binomial then cosine graph0606/11/M/J/24 — Question 4 · 7 marks
  35. 3.38: Cosine graph and sine tangent values0606/11/M/J/24 — Question 5 · 5 marks
  36. 3.39: Cot–sin relation and sine equation0606/11/M/J/24 — Question 7 · 3 marks
  37. 3.40: Kinematics with sine velocity0606/11/M/J/24 — Question 10 · 9 marks
  38. 3.41: Sine graph: find a, b, c0606/12/M/J/24 — Question 1 · 3 marks
  39. 3.42: Logarithm product0606/12/M/J/24 — Question 2 · 3 marks
  40. 3.43: Derivative of tan squared0606/12/M/J/24 — Question 3 · 4 marks
  41. 3.44: Sine graph: find a, b, c0606/13/M/J/24 — Question 1 · 3 marks
  42. 3.45: Normal to a curve0606/13/M/J/24 — Question 8 · 7 marks
  43. 3.46: Definite cosine integral and rational integral0606/22/M/J/24 — Question 2 · 7 marks
  44. 3.47: Polynomial factors then sine equation0606/22/M/J/24 — Question 4 · 7 marks
  45. 3.48: Tangent to an exponential curve0606/22/M/J/24 — Question 5 · 6 marks
  46. 3.49: Sin–cot identity and tan equation0606/22/M/J/24 — Question 6 · 8 marks
  47. 3.50: Binomial independent term and surd difference0606/23/M/J/24 — Question 4 · 8 marks
  48. 3.51: Trigonometric function form, equation and gradient0606/23/M/J/24 — Question 5 · 14 marks
  49. 3.52: Curve from second derivative involving cosine0606/23/M/J/24 — Question 8 · 7 marks
  50. 3.9: Amplitude, period and sketch of cosine0606/12/F/M/24 — Question 1 · 5 marks
  51. 3.10: Polynomial factors then cosec equation0606/12/F/M/24 — Question 5 · 13 marks
  52. 3.84: Trigonometric graph parameters0606/11/O/N/23 — Question 1 · 3 marks
  53. 3.85: Binomial expansion first four terms0606/12/O/N/23 — Question 4 · 7 marks
  54. 3.86: Secant equation in radians0606/12/O/N/23 — Question 5 · 5 marks
  55. 3.87: Perpendicular bisector through a point0606/13/O/N/23 — Question 2 · 4 marks
  56. 3.88: Sketch y=2−3sin⁡xy=2-3\sin x0606/13/O/N/23 — Question 3 · 4 marks
  57. 3.89: Printed end-matter / continuation0606/13/O/N/23 — Question 12 · 1 mark
  58. 3.90: Integral of rational function0606/21/O/N/23 — Question 3 · 6 marks
  59. 3.91: Further trigonometry / calculus0606/22/O/N/23 — Question 3 · 8 marks
  60. 3.92: Exact definite integral0606/23/O/N/23 — Question 4 · 6 marks
  61. 3.93: Triangle with given angles (no calculator)0606/23/O/N/23 — Question 7 · 7 marks
  62. 3.94: Tangent–sine identity0606/23/O/N/23 — Question 8 · 10 marks
  63. 3.29: Triangles with exact trig ratios0606/11/M/J/23 — Question 5 · 8 marks
  64. 3.30: Sec–cot identity and equation0606/11/M/J/23 — Question 6 · 10 marks
  65. 3.31: Cosine graph: find a, b, c0606/12/M/J/23 — Question 1 · 3 marks
  66. 3.32: Fractional powers and lg equation0606/12/M/J/23 — Question 5 · 10 marks
  67. 3.33: Cot–sec relation and cosec equation0606/12/M/J/23 — Question 6 · 7 marks
  68. 3.34: Cosine: sketch, amplitude, period0606/21/M/J/23 — Question 2 · 5 marks
  69. 3.35: Area and integration0606/21/M/J/23 — Question 7 · 10 marks
  70. 3.36: Sec function range, gf and inverse sketch0606/23/M/J/23 — Question 8 · 14 marks
  71. 3.6: Sketch of y = 4|cos 2x|0606/22/F/M/23 — Question 1 · 3 marks
  72. 3.7: Cosec–sec–tan simplifies to sine0606/22/F/M/23 — Question 4 · 4 marks
  73. 3.8: Normal to sine curve and triangle OAB0606/22/F/M/23 — Question 11 · 9 marks
  74. 3.71: Modulus graphs and inequality0606/11/O/N/22 — Question 1 · 6 marks
  75. 3.72: Vectors in a triangle0606/11/O/N/22 — Question 11 · 7 marks
  76. 3.73: Sine graph: find a, b, c0606/12/O/N/22 — Question 1 · 4 marks
  77. 3.114: Solve 3sin⁡2(2x+π/4)=cos⁡2(2x+π/4)3\sin^{2}(2x+\pi/4)=\cos^{2}(2x+\pi/4)0606/12/O/N/22 — Question 4 · 5 marks
  78. 3.74: Sketch y=4−3sin⁡2xy=4-3\sin 2x0606/13/O/N/22 — Question 1 · 3 marks
  79. 3.75: Exponential function range and inverse0606/13/O/N/22 — Question 6 · 7 marks
  80. 3.76: Exact definite integral with trig0606/13/O/N/22 — Question 7 · 5 marks
  81. 3.77: Trigonometric equation in radians0606/13/O/N/22 — Question 10 · 5 marks
  82. 3.78: Exponential and logarithmic equations0606/21/O/N/22 — Question 4 · 6 marks
  83. 3.79: Derivative of reciprocal cosine0606/21/O/N/22 — Question 5 · 6 marks
  84. 3.80: Counting 4-digit codes0606/22/O/N/22 — Question 6 · 6 marks
  85. 3.81: Cos/sin identity to cosec0606/22/O/N/22 — Question 7 · 8 marks
  86. 3.82: Line intersecting cubic curve0606/23/O/N/22 — Question 4 · 6 marks
  87. 3.83: Secant identity and equation0606/23/O/N/22 — Question 5 · 8 marks
  88. 3.23: Normal to tan curve: midpoint of AB0606/11/M/J/22 — Question 10 · 10 marks
  89. 3.113: Horizontal tangents and a tan–cos identity0606/11/M/J/22 — Question 6 · 10 marks
  90. 3.24: Sine graph: find a, b, c0606/12/M/J/22 — Question 1 · 3 marks
  91. 3.25: Cosec equation in radians0606/13/M/J/22 — Question 8 · 4 marks
  92. 3.26: Cosec equation and y in terms of x0606/13/M/J/22 — Question 9 · 8 marks
  93. 3.27: Exact curve value with surds0606/22/M/J/22 — Question 1 · 3 marks
  94. 3.28: Tan graph: period and constants0606/23/M/J/22 — Question 5 · 5 marks
  95. 3.2: Quadratic with surd coefficients0606/12/F/M/22 — Question 2 · 6 marks
  96. 3.3: Sine curve constants and minimum0606/12/F/M/22 — Question 3 · 8 marks
  97. 3.4: Normal to tan curve and triangle area0606/12/F/M/22 — Question 6 · 8 marks
  98. 3.5: Sec–tan equation, identity and cot from cosec0606/22/F/M/22 — Question 7 · 10 marks
  99. 3.63: Sine graph: period and constants0606/11/O/N/21 — Question 1 · 4 marks
  100. 3.64: Horizontal tangents to a sine curve0606/12/O/N/21 — Question 5 · 3 marks
  101. 3.65: Rationalising a surd expression0606/21/O/N/21 — Question 4 · 5 marks
  102. 3.66: Derivative of tan squared0606/21/O/N/21 — Question 5 · 7 marks
  103. 3.67: Binomial expansion and coefficient equation0606/22/O/N/21 — Question 2 · 7 marks
  104. 3.68: Sec identity and equation0606/22/O/N/21 — Question 3 · 8 marks
  105. 3.69: Triangle with surds: side, sine and height0606/22/O/N/21 — Question 6 · 7 marks
  106. 3.70: Cosec identity and equation0606/23/O/N/21 — Question 5 · 8 marks
  107. 3.16: Inequality and quadratic equation0606/21/M/J/21 — Question 3 · 6 marks
  108. 3.17: Tangent graph: constants and sketch0606/21/M/J/21 — Question 4 · 5 marks
  109. 3.18: Logarithmic equations and identities0606/21/M/J/21 — Question 8 · 8 marks
  110. 3.19: Polynomial factor and remainder0606/22/M/J/21 — Question 4 · 6 marks
  111. 3.20: Cosine: amplitude, period and sketch0606/22/M/J/21 — Question 5 · 5 marks
  112. 3.21: Ln curve sketch and tangent0606/23/M/J/21 — Question 7 · 7 marks
  113. 3.22: Integrals with sine and identity0606/23/M/J/21 — Question 8 · 8 marks
  114. 3.1: Trapezium with surds: perimeter, area, tan and sec0606/12/F/M/21 — Question 7 · 9 marks

Set 2

  1. 2.12: Exact tan 15° and Pythagoras0606/21/O/N/20 — Question 6 · 5 marks
  2. 2.21: Exact triangle area and cosine rule0606/22/O/N/20 — Question 8 · 8 marks
  3. 2.22: Sin–tan identity and sec–cot equation0606/22/O/N/20 — Question 11 · 10 marks
  4. 2.17: Cotangent quadratic and fourth-power identity0606/22/M/J/20 — Question 8 · 9 marks
  5. 2.26: Sine curve constants and tangent sketch0606/23/M/J/20 — Question 6 · 5 marks
  6. 2.27: Sec–tan quadratic and sine equation0606/23/M/J/20 — Question 10 · 8 marks
  7. 2.10: Cosine graph constants from sketch0606/21/O/N/19 — Question 2 · 3 marks
  8. 2.11: Cubic in sin from sec–tan equation0606/21/O/N/19 — Question 7 · 7 marks
  9. 2.20: Tan–sec sum identity and sine equation0606/22/O/N/19 — Question 6 · 9 marks
  10. 2.31: Cosecant–cotangent over 1 − cos0606/23/O/N/19 — Question 2 · 5 marks
  11. 2.32: Cotangent phase shift and mixed equation0606/23/O/N/19 — Question 5 · 10 marks
  12. 2.33: Exact tan and hypotenuse with surds0606/23/O/N/19 — Question 6 · 6 marks
  13. 2.5: Cosecant–cotangent identity and tan equation0606/21/M/J/19 — Question 11 · 9 marks
  14. 2.16: Simplify tan over sec and solve0606/22/M/J/19 — Question 9 · 4 marks
  15. 2.25: Sketch, period and amplitude of sine graph0606/23/M/J/19 — Question 4 · 5 marks
  16. 2.8: Sec, cot and tan equation0606/21/O/N/18 — Question 4 · 6 marks
  17. 2.9: Cosecant–cotangent identity and equation0606/21/O/N/18 — Question 7 · 8 marks
  18. 2.19: Reciprocal sine identity and equation0606/22/O/N/18 — Question 8 · 8 marks
  19. 2.30: Sine, sec–cosec and cot–tan equations0606/23/O/N/18 — Question 9 · 12 marks
  20. 2.4: Quadratic in sin and tan–sin equation0606/21/M/J/18 — Question 11 · 10 marks
  21. 2.15: Cosecant identity and equation0606/22/M/J/18 — Question 1 · 5 marks
  22. 2.24: Quadratic in sin and tan–sin equation0606/23/M/J/18 — Question 11 · 10 marks
  23. 2.7: Prove identity with reciprocal sine terms0606/21/O/N/17 — Question 2 · 4 marks
  24. 2.29: Cosecant identity and mixed equations0606/23/O/N/17 — Question 10 · 12 marks
  25. 2.2: Cosine curve properties and graph equation0606/21/M/J/17 — Question 4 · 6 marks
  26. 2.3: Prove sec identity and solve modulus equation0606/21/M/J/17 — Question 11 · 8 marks
  27. 2.14: Sine and secant quadratic equations0606/22/M/J/17 — Question 10 · 9 marks
  28. 2.23: Modulus sine, tan and cot equations0606/23/M/J/17 — Question 10 · 12 marks
  29. 2.6: Prove tan–cot identity and solve linear equation0606/21/O/N/16 — Question 6 · 8 marks
  30. 2.18: Tan–cot identity and linear combination0606/22/O/N/16 — Question 6 · 8 marks
  31. 2.28: Cosine rule with surds and area0606/23/O/N/16 — Question 5 · 7 marks
  32. 2.1: Tangent curve constants and cosine graph0606/21/M/J/16 — Question 9 · 8 marks
  33. 2.13: Quadratic in cos and cosecant equation0606/22/M/J/16 — Question 12 · 8 marks

Set 1

  1. 1.8: Amplitude, period and sketch of a cosine graph0606/11/O/N/20 — Question 2 · 5 marks
  2. 1.9: Cosec identity and compound-angle equation0606/11/O/N/20 — Question 8 · 12 marks
  3. 1.21: Cosine graph: amplitude, period and sketch0606/12/O/N/20 — Question 3 · 5 marks
  4. 1.33: Cosine–tangent to quadratic in sine0606/13/O/N/20 — Question 11 · 7 marks
  5. 1.5: Period and sketch of a cosine graph0606/11/M/J/20 — Question 2 · 4 marks
  6. 1.6: Secant identity and cosecant equation0606/11/M/J/20 — Question 10 · 12 marks
  7. 1.15: Tangent equation and graph sketch0606/12/M/J/20 — Question 10 · 7 marks
  8. 1.20: Cosine graph sketch, amplitude and period0606/12/O/N/19 — Question 1 · 5 marks
  9. 1.32: Cosine graph sketch, amplitude and period0606/13/O/N/19 — Question 2 · 6 marks
  10. 1.4: Amplitude, period and sketch of a sine graph0606/11/M/J/19 — Question 2 · 5 marks
  11. 1.27: Secant identity and squared sine equation0606/13/M/J/19 — Question 6 · 10 marks
  12. 1.18: Sine equation with a surd coefficient0606/12/O/N/18 — Question 1 · 4 marks
  13. 1.19: Cosine curve from a graph0606/12/O/N/18 — Question 10 · 5 marks
  14. 1.3: Sine curve: constants and sketch0606/11/M/J/18 — Question 4 · 7 marks
  15. 1.12: Period and sketch of a tangent graph0606/12/M/J/18 — Question 1 · 4 marks
  16. 1.13: Quadratic in sin and tan double-angle equation0606/12/M/J/18 — Question 8 · 8 marks
  17. 1.14: Cosine rule with surd lengths0606/12/M/J/18 — Question 10 · 4 marks
  18. 1.26: Sine curve: constants and sketch0606/13/M/J/18 — Question 4 · 7 marks
  19. 1.7: Cosec–sin and tangent equations0606/11/O/N/17 — Question 10 · 8 marks
  20. 1.16: Sine curve constants from amplitude and period0606/12/O/N/17 — Question 2 · 4 marks
  21. 1.17: Cotangent equation and secant identity0606/12/O/N/17 — Question 11 · 14 marks
  22. 1.30: Eliminating the parameter with sec and tan0606/13/O/N/17 — Question 1 · 2 marks
  23. 1.31: Cosine curve constants from properties0606/13/O/N/17 — Question 4 · 4 marks
  24. 1.2: Pythagorean identity with tan and sec0606/11/M/J/17 — Question 9 · 1 mark
  25. 1.11: Cosec over cot plus tan identity0606/12/M/J/17 — Question 6 · 4 marks
  26. 1.23: Amplitude and period of a cosine function0606/13/M/J/17 — Question 2 · 2 marks
  27. 1.24: Sine graph sketch and modulus range0606/13/M/J/17 — Question 3 · 4 marks
  28. 1.25: Tangent–sine identity and parametric elimination0606/13/M/J/17 — Question 7 · 7 marks
  29. 1.28: Sketch of a modulus cosine graph0606/13/O/N/16 — Question 1 · 3 marks
  30. 1.29: Cosecant identity and tangent equation0606/13/O/N/16 — Question 8 · 9 marks
  31. 1.1: Factorising a trigonometric equation0606/11/M/J/16 — Question 9 · 7 marks
  32. 1.10: Secant identity and solving in radians0606/12/M/J/16 — Question 5 · 7 marks
  33. 1.22: Factorising a trigonometric equation0606/13/M/J/16 — Question 9 · 7 marks