**IBO Syllabus**

**Topic 5 - Geometry and Trigonometry**

**5.2**Use of sine, cosine and tangent ratios to find the sides and angles of a right-angled triangle; angles of depression and elevation

**5.3**Use of the sine rule and the cosine rule; use of area of a triangle; construction of labeled diagrams from verbal statements

**5.4**Geometry of three-dimensional solids; distance between two points; angle between two lines or between a line and a plane

**Textbook Reference**

**Prior Learning**p 533-539

3.1 Pythagoras' theorem

3.3 Two-dimensional shapes

3.4 Perimeter

3.5 Area

**3.3 The sine, cosine and tangent ratios**p103-119

- Finding the sides of a right-angle triangle

- Finding the angles of a right angle triangle

- Finding right-angled triangles in other shapes

- Angles of elevation and depression

**3.4 The sine and coseine rules**p119-125

- The sine rule

- The cosine rule

- Area of a triangle

**Review exercises**p126-128

Paper 1 style questions Q5-8

Paper 2 style questions Q2-3

**10.2 Distance between two points in a solid**p426-429

**10.3 Angles between two lines, or between a line and a plane**p429-436

**Review exercises**p448-450

Paper 1 style questions Q3-5,7

Paper 2 style questions Q1-4

**IBO Formula Booklet**