AS/A-Level Maths - Trigonometry (with Fully Worked Solutions)

Build complete confidence in trigonometry with a workbook packed with past-paper style questions and line-by-line solutions. Every method is explained clearly and aligned to how examiners award marks.

What's inside

• Angles and measure - degrees and radians, unit circle, arc length, sector area, and small-angle ideas.
• Graphs and transformations - sine, cosine, and tangent; amplitude, period, phase shift, and sketching in radians.
• Core identities - Pythagorean, reciprocal, quotient, compound-angle, double-angle, and the R method for combining sine and cosine into a single wave.
• Equations and inequalities - solve in given intervals, write general solutions, use inverse trig safely.
• Triangles - Sine Rule, Cosine Rule, and area methods with bearings and 3D applications.
• Modelling - fit sinusoidal models to data, interpret parameters, and validate results.

Why students love this book

• Fully worked, exam-style solutions with common pitfalls flagged.
• Well-structured layout and signposted steps you can follow at a glance.
• Mark-scheme mindset: shows where each mark comes from and what examiners expect.
• Graded practice: warm-ups, standard exam questions, and stretch problems.
• Strategy boxes and checks: which identity to try, interval handling, and quick reasonableness tests.
• Calculator tips: radians versus degrees, rounding, and sanity checks.

Perfect for

• AS or A-Level students aiming for grades 7–9 or A–A*.
• Independent study, targeted topic revision, or rapid pre-exam sharpening.
• All major UK boards: Edexcel, AQA, OCR, OCR(MEI); helpful for CAIE too.

Outcome: handle radians fluently, choose the right identity, solve trigonometric equations over specified intervals, and produce exam-ready solutions.