OCR•A-Level•Mathematics
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Trigonometry
Trigonometric functions, identities, equations, and inverse functions
Practice 41 subtopics in Trigonometry. All questions match the OCR A-Level specification.
About Trigonometry
Trigonometry is a key topic in the OCR A-Level Mathematicsspecification. This topic covers trigonometric functions, identities, equations, and inverse functions.
Master all 41 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.
All Subtopics (41)
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Sine, cosine, and tangent ratiosExact values for 0°, 30°, 45°, 60°, 90°Sine rule: a/sin A = b/sin BCosine rule: a² = b² + c² - 2bc cos AArea of triangle: ½ab sin CRadian measureConverting between degrees and radiansArc length: s = rθSector area: A = ½r²θSegment area calculationssin θ ≈ θ (θ in radians)cos θ ≈ 1 - θ²/2tan θ ≈ θGraphs of sin x, cos x, tan xPeriod, amplitude, and phaseTransformations of trigonometric graphstan θ = sin θ/cos θsin²θ + cos²θ = 1sec θ, cosec θ, cot θ definitionsGraphs of sec, cosec, cot1 + tan²θ = sec²θ1 + cot²θ = cosec²θsin(A ± B) formulaecos(A ± B) formulaetan(A ± B) formulaeDouble angle formulae: sin 2ADouble angle formulae: cos 2A (three forms)Double angle formulae: tan 2Aa sin θ + b cos θ = R sin(θ + α)a cos θ + b sin θ = R cos(θ - α)Finding R and αUsing R-formula for equationsUsing R-formula for max/minarcsin, arccos, arctan functionsPrincipal valuesDomains and ranges of inverse trig functionsSolving trigonometric equationsFinding all solutions in a given rangeUsing identities to solve equationsQuadratic equations in sin/cos/tanTrigonometry in context and modelling
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