📚 Key Concepts
Angles: degree and radian measureSigns of trigonometric functions in different quadrantsTrigonometric ratios of:- Standard angles (0°, 30°, 45°, 60°, 90°)
- Complementary angles
- Negative angles
Trigonometric identitiesDomain and range of trigonometric functionsTrigonometric ratios of sum/difference of angles
🎯 Key Formulas
Radian-Degree conversion: 1° = π/180 radiansSum and Difference formulas:- sin(A±B) = sinA cosB ± cosA sinB
- cos(A±B) = cosA cosB ∓ sinA sinB
- tan(A±B) = (tanA ± tanB)/(1 ∓ tanA tanB)
Basic Identities:- sin²θ + cos²θ = 1
- 1 + tan²θ = sec²θ
- 1 + cot²θ = cosec²θ
⚠️ Common Mistakes to Avoid
Wrong quadrant identificationSign errors in sum/difference formulasConfusion between degree and radianIncorrect conversion of negative anglesWrong application of identitiesDomain/range misconceptions
📖 Knowledge Prerequisites
Basic algebraCoordinate geometryConcept of functionsUnderstanding of angles and their measurement
💡 Tips for Students
Memorize values of standard anglesPractice ASTC rule for quadrantsDraw diagrams for complex problemsUse unit circle for visualizationRemember signs in different quadrants
👉 Practice Recommedations
Convert between degrees and radiansFind values of standard anglesApply trigonometric identitiesSolve equations using sum/difference formulasPractice domain and range problemsWork with negative anglesUse graphs to understand behavior
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