IBDP Mathematics Analysis & Approaches HL Chapter 5 Notes

Trigonometric Functions and Equations

STUDY NOTES FOR MATHEMATICS – CHAPTER 5 – Trigonometric Functions and Equations

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.

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. This is further emphasized as this chapter will look at the following in great detail: Reciprocal trigonometric functions, Inverse trigonometric functions, Algebra with trigonometric functions, Double angle identities and Compound angle identities. Reciprocal trigonometric functions deal with reciprocal functions of sin x, cos x, and tan x. Inverse trigonometric functions are the inverse of reciprocal trigonometric functions – sin- 1, cos-1, and tan- 1 these defined as arcsine, arccosine, and arctangent respectively. Algebra with trigonometric functions involves comparing algebraic tribometer expressions and simplifying them. It also delves into knowing the trigonometry identities such as The Pythagorean identity. Double angle and compound angle identities are further progressions of algebra with trigonometric functions that involve investigation, factorization and proofing while using the unit circle.