Lesson 5 Summary

 

In previous math courses you explored how to solve trigonometric ratios from 0° to 360°. In this lesson you solved equations using radians and reciprocal trigonometric ratios for all angles.

 

You also learned to solve more complex trigonometric equations. You used skills learned previously to isolate the trigonometric term (e.g., sin θ, cos θ, tan θ). You then used the unit circle to obtain exact values of the angle. Your calculator can also be used to give approximate values. Read questions carefully to know what is required.

 

A general solution gives all possible solutions for an equation. To determine a general solution, find the solutions in one positive rotation and then determine other solutions using coterminal angles. A general solution may be written in the form θ = ___ + ___ nπ, n ∈ I. More than one expression is often required to express a general solution. In Lesson 6 you will begin to explore visual representations of trigonometric functions.

 

In upcoming lessons you will learn to apply this new understanding to solve problems that involve cyclic behaviour, such as amusement park rides.