Inverse & Reciprocal Trigonometric Functions | OCR A-Level Maths | 40 Worked Examples (H240)

A complete, exam-focused worksheet on inverse and reciprocal trigonometric functions for OCR A-Level Mathematics A (H240, content statements 1.05h and 1.05i). Forty questions build in difficulty from Easy through Standard to Challenging, each paired with a fully worked solution that explains every single line. Coverage: the definitions of sec, cosec and cot; exact values and the reciprocal Pythagorean identities sec^2 = 1 + tan^2 and cosec^2 = 1 + cot^2; arcsin, arccos and arctan with their principal-value ranges, domains and graphs; solving trigonometric equations that involve the reciprocal functions; and rigorous ‘prove’ and ‘hence solve’ questions in authentic OCR style, including the ‘you must show detailed reasoning’ instruction. Solutions are annotated against the real OCR mark scheme (M, A and B marks), use exact answers and 3 significant figure accuracy exactly as OCR requires, and include clean graph sketches of arctan, cosec and the arcsin/arccos pair. Ideal for revision, homework, cover lessons and one-to-one tuition. Written by an engineering undergraduate and practising maths tutor for Locus Tutors.