CAIE A-Level Mathematics 1.5.1 Trigonometric Graphs

CAIE A-Level Mathematics 1.5.1 Trigonometric Graphs
Cambridge International AS & A Level Mathematics 9709 syllabus for exams in 2028, 2029 and 20302028–2030

Practise sketching sine, cosine and tangent graphs in degrees or radians and reading amplitude, period, range, intercepts, extrema and solution counts after transformations.

How this is tested

  • mark the correct period, intercepts and extrema before joining them with a smooth curve
  • derive amplitude, vertical shift and horizontal scale from a transformed trig equation
  • read ranges or count graph intersections only within the stated degree or radian interval

Question 5

[Maximum number: 4]

The equation of a curve is y = 4cos(2x) + 3 for 0 <= x <= 2π.

Question 5(a)

(a)

State the greatest and least possible values of y.

[ 2 ]

Question 5(b)

(b)

Sketch the curve.

[ 2 ]