## Grade 12 Calculus and Vectors

Chapter 5: Derivatives of Trigonometric Functions

As one may have predicted from the title, this chapter will focus on finding derivatives of trigonometric functions. Trigonometry is a branch of mathematics that studies triangles, angles, ratios and circles. The term trigonometry was coined from two Greek terms: trígo̱no, meaning triangle and metro, meaning measure. Trigonometric functions are used most commonly to model cyclic events, as one may see from the sine or cosine graphs.

This chapter will examine and illustrate the derivatives of the three fundamental identities/functions of trigonometry, namely f(x) = sin x, f(x) = cos x and f(x) = tan x. Even though, tan x is a function of sin x and cos x, we will treat it as a separate function in this chapter for simplicity. Understanding these functions and their use are critical because they will help simplify mathematical modelling of nature’s many complicated motions/situations.

**
5.01 Review of Trigonometric Identities/Functions
5.1 Derivatives of f(x)= sin x and f(x)= cos x
5.2 Derivatives of f(x)= tan x
**

## Grade 12 Calculus and Vectors

Chapter 1: Introduction to* Calculus *and Vectors

Chapter 2: Derivatives

Chapter 3: Applications of Derivatives

Chapter 4: Curve Sketching

Chapter 5: Derivatives of Trigonometric Functions

5.01 Review of Trigonometric Identities/Functions

5.1 Derivatives of f(x)= sin x and f(x)= cos x

5.2 Derivatives of f(x)= tan x

Chapter 6: Derivatives of Exponential Functions

Chapter 7: Introduction to * Vectors *

Chapter 8: Vector Operations and Applications

Chapter 9: Equations of Lines

Chapter 10: Equations of Planes

Chapter 11: Points, Lines and Planes

Videos for each topic contain a playlist, allowing you to choose the instructor and learning style to your liking. You can choose different videos in a topic by placing the mouse over the video and selecting a different video from the playlist. Videos of solutions to multiple example problems are also available to illustrate to students how each tools and techniques should be used.

Please refer to high school math prerequisite tree to see the recommended courses and materials one should be familiar with prior to taking up Calculus and Vectors.

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