10. Trigonometry
- Syllabus
- 0606–2028–2029
- Topic
- 10
- Level
- —
10.1. Use the six trigonometric functions
- Know and use sine, cosine, tangent, secant, cosecant and cotangent for angles of any magnitude.
10.2. Use amplitude and period
- Understand and use the amplitude and period of a trigonometric function.
- Understand relationships between graphs of related trigonometric functions, such as y = sin x and y = 3 sin 2x.
- The period may be in degrees or radians.
10.3. Draw and use trigonometric graphs
- Draw and use graphs of y = a sin bx + c, y = a cos bx + c and y = a tan bx + c.
- Graphs are drawn over a given domain, in degrees or radians.
- For y = a tan bx + c, clearly label the x-coordinate of any asymptote.
- Use a as a positive integer, b as a simple fraction or integer, and c as an integer; simple fractions have denominator 2, 3, 4, 6 or 8 only.
10.4. Use trigonometric identities
- Use the relationships sin^2 A + cos^2 A = 1, sec^2 A = 1 + tan^2 A and cosec^2 A = 1 + cot^2 A.
- Trigonometric identities are given in the List of formulas.
10.5. Solve trigonometric equations
- Solve trigonometric equations over a given domain involving the six trigonometric functions.
- Includes use of the relationships in 10.4.
10.6. Prove trigonometric relationships
- Prove trigonometric relationships involving the six trigonometric functions.
- Includes use of the relationships in 10.4.
Objective notes
6 learning objectivesConceptIGCSE Additional Math