Advanced Mathematics

Introduction

As we saw it in senior 4, trigonometry studies relationship involving lengths and angles of a triangle. The techniques in trigonometry are used for finding relevance in navigation particularly satellite systems and astronomy, naval and aviation industries, oceanography, land surveying and in cartography (creation of maps). Now, those are the scientific applications of the concepts in trigonometry, but most of the mathematics we study would seem (on the surface) to have little real-life application. Trigonometry is really relevant in our day to day activities. 

1.1. Trigonometric formulae

1.1.1. Addition and subtraction formulae 

From Activity 1.1, the addition and subtraction formulae are: 

Addition and subtraction formulae are useful when finding trigonometric number of some angles. 

The given information produces the triangle shown below. 

 Note the signs associated with a and b.  The Pythagorean Theorem is used to find the hypotenuse.