| IB HL - Trigonometry |
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| The right-angled triangle |
- Pythagoras' theorem.
- SOHCAHTOA and applications.
- Using angles of elevation and depression.
- Using 3 figure bearings.
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| The non-right angled triangle |
- Finding 2 solutions of angles between 0 and 360 degrees.
- Drawing cosine, sine, and tangent graphs.
- The sine rule.
- The cosine rule.
- The area of a non-right angled triangle.
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| Radian measure |
- Conversion between degree and radian measure.
- Graphing sine, cosine, tangent curves with radian measure.
- Finding sector areas and arc lengths using radian measure.
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| The unit circle |
- Defining cosine, sine and tangent by using the unit circle.
- Defining cosec, sec, and cot by using the unit circle.
- Derive and use the Pythagorean identities.
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| Circular functions |
- Further graphing of sine, cosine, and tangent curves.
- Transformation of trig curves; using amplitude, period, domain and range.
- Solving wave function applications, such as sunlight hours, using trig curves.
- The inverse functions and graphs (arcsine, arccos, arctan), their domain and range.
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| Trig solution in finite intervals |
- Solving trig functions by use of algebra.
- Solving trig functions by use of a graph on a GDC.
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| Trig identities |
- Derive and proof of the compound angle identities.
- Derive and proof of the double angle identities.
- Using trig identities to solve problems.
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