Trigonometric Graphs and Exact Values | 30 Worked Examples | OCR B MEI A-Level Maths

Worked solutions for OCR B (MEI) A-Level Maths (H640): trigonometric graphs and exact values, all in degrees. 30 exam-style questions with every line of working explained, each step annotated with MEI mark codes (M1, A1, B1) so you can see exactly where the marks come from.

Covers the graphs of sin x, cos x and tan x (period, amplitude, asymptotes, turning points), symmetry and periodicity, CAST, exact values for 30, 45 and 60 degrees derived from the equilateral and right-isosceles triangles, transformations such as y = a sin x + d, y = sin(bx) and y = cos(x + c), counting and locating solutions from a graph, and finding a, b, c and d from a sketch. Clear TikZ graphs are included wherever the question needs one.

Questions run from entry level to genuine exam style, including “show that” and “in this question you must show detailed reasoning” problems. Ideal for Year 12 students, tutors and independent revision, with a key facts page including a full exact values table.

What’s inside:
Easy: 11 questions on exact values, the equilateral and right-isosceles triangles, symmetry, CAST signs and basic sketches of sin, cos and tan
Medium: 13 questions on transformed graphs, reading a, b, c and d from a sketch, counting solutions, exact value arithmetic and a Ferris wheel model
Hard: 6 questions with multi-part sketches, tan x = 2 sin x, a harbour tide model and detailed reasoning with exact trig values

Total 140 marks. Full worked solutions included for every question.