Edexcel•A-Level•Mathematics
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Trigonometry
Trigonometric functions, identities, equations, and inverse functions
Practice 43 subtopics in Trigonometry. All questions match the Edexcel A-Level specification.
About Trigonometry
Trigonometry is a key topic in the Edexcel A-Level Mathematicsspecification. This topic covers trigonometric functions, identities, equations, and inverse functions.
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All Subtopics (43)
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Sine, cosine, and tangent ratiosExact values for 0°, 30°, 45°, 60°, 90°Sine rule: a/sin A = b/sin B = c/sin CCosine rule: a² = b² + c² - 2bc cos AArea of triangle: ½ab sin CSolving problems involving trianglesGraphs of sin x, cos x, tan xAmplitude, period, and phaseTransformations of trigonometric graphsCAST diagram for signs in quadrantsPrincipal valuestan θ = sin θ / cos θsin²θ + cos²θ = 1Solving trigonometric equations in given rangeRadian measureConverting between degrees and radiansArc length: s = rθSector area: A = ½r²θSegment area calculationssin θ ≈ θ (θ in radians)cos θ ≈ 1 - θ²/2tan θ ≈ θsec θ = 1/cos θcosec θ = 1/sin θcot θ = 1/tan θ = cos θ/sin θGraphs of sec, cosec, cot1 + tan²θ = sec²θ1 + cot²θ = cosec²θarcsin, arccos, arctan functionsDomains and ranges of inverse trig functionssin(A ± B) formulaecos(A ± B) formulaetan(A ± B) formulaesin 2A = 2 sin A cos Acos 2A = cos²A - sin²A = 2cos²A - 1 = 1 - 2sin²Atan 2A = 2tan A/(1 - tan²A)a 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 to solve equationsUsing R-formula to find max/min valuesProving trigonometric identitiesSolving complex trigonometric equations
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