IBDP Mathematics Analysis & Approaches HL Chapter 6 Notes

Geometry and Trigonometry

STUDY NOTES FOR MATHEMATICS – CHAPTER 6 – Geometry and Trigonometry

These notes have specially been curated by expert teachers to simplify and enlighten concepts given in IB Mathematics HL. The notes are comprehensive in nature and are sufficient to study the chapter in depth and one need not look for other resources beyond the notes provided on our website which can be accessed for free. The notes for Mathematics IBDP HL are available on our official website and can be downloaded for free. You are one click away from obtaining all that you need to score well in IB Mathematics HL.

All DP mathematics courses serve to accommodate the diverse range of needs, interests and abilities of students, and to fulfill the requirements of various university and career aspirations. The aims of these courses are to enable students to: develop mathematical knowledge, concepts, principles, logical, critical and creative thinking, employ and refine their powers of abstraction and generalization. Students are also encouraged to appreciate the international dimensions of mathematics and the multiplicity of its cultural and historical perspectives.

Geometry is the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogues. In this chapter, under geometry, we learn to find the distance between two points in 3-D space, the midpoint of a line segment in 3-D space, the volume and surface area of solids and the size of angles between lines. Whereas, trigonometry is the branch of mathematics that deals with relations of sides and angles of triangles and with the relevant functions of any angles as a whole.In this chapter, we build on our knowledge of angles and trigonometry. We consider radian measure as an alternative to degrees, the unit circle which helps us give meaning to the trigonometric ratios for any angle. We learn about the different measurements of angles such as radians and degrees and to calculate arc length and area of a sector of a circle. When non right angled triangle trigonometry was introduced, we used the unit circle to give meaning to the trigonometric ratios for obtuse angles. This is now extended to include all angles. We also deal with the pythagorean identity from the equation of the unit circle.