Trigonometric Identities and Equations | 30 Worked Examples | OCR B MEI A-Level Maths

Thirty fully worked trigonometric identities and equations questions written for OCR B (MEI) A-Level Mathematics (H640), Year 12, with every line of every solution explained and annotated with the MEI mark codes (M, A and B marks) so you can see exactly where the marks are won.

The pack follows the specification (Mt5, Mt6 and Mt7): tan x = sin x / cos x, sin squared x + cos squared x = 1, proving identities, and solving equations in degrees over stated intervals, including multiple and shifted angles such as sin 2x, cos(x + 30) and tan 3x. It also covers equations that are quadratic in sin, cos or tan, rejecting impossible roots, and the classic trap of dividing by a factor that could be zero. Questions are set in MEI exam style with command words such as Find, Show that and Determine, and “In this question you must show detailed reasoning” questions, plus a harbour-tide modelling problem.

What’s inside:
Easy: 10 questions to get started, covering sin x = k, cos x = k and tan x = k with symmetry, exact values, simple multiple and shifted angles, and finding cos and tan from sin.
Medium: 13 questions on quadratics in sin, cos and tan, the quadratic formula, multiple angles over longer intervals, equations using tan x = sin x / cos x, a student-error question and proving identities.
Hard: 7 multi-step exam-style questions on identity proofs with fractions, detailed-reasoning quadratics in shifted and multiple angles, a show-that-then-solve question and a modelling question.

Each worked solution is broken down one operation per line with a short note beside it, which makes the pack ideal for self-study, homework, revision and tutor use.