Trigonometry Chpt 8

Exam content - Exam hack watch and read Video for trig questions Notes

Chapter 8 Trigonometry

Curriculum content


Trigonometric Ratios For 30°, 45° And 60°, Trig Ratios For Multiples Of 30°, 45° And 60° In this tutorial I show you how you can calculate the exact values of sin, cos and tan of 30°, 45° and 60° and their multiples, without a calculator by memorising some basic triangles as seen in the video.


Exact Trigonometric values using Fingers! In this tutorial, we can find the exact values of the trigonometry of basic angles (0, 30, 45, 60 and 90 degrees) simply using fingers. Learn this in less than 10 min.


Trig graphs. Here I show you how the graphs of sin θ and cos θ can be thought of as projections of the unit circle and also how to draw the graph of tan θ. I also look at some of their properties.

Transformations of trig graphs

Trig graphs 1, Trig graphs 2, Trig graphs 3, Trig graphs 4, Trig graphs 5, Trig graphs 6

Trig graphs. Combining all, example 2

Amplitude, period and frequency. Tutorial 1

A video to cover all

Solving Trig equations

Using the quadrant method

This link takes you to a set of 7 videos using the CAST or quadrant method. Video tutorial

Solving trig equations graphically

Video tutorial 1,

Video tutorial 2 by Mr Wells

Example 2

Example 3 - example of change the range or don't

Example 4 - why I change the range

Solving quadratic trig equations

Example

Solving equations with identities

Example 1

Example 2

Example 3

Trigonometry Identities

The first two trig identities. They are very important and should be learnt. Generally you are not asked to prove them but just use them. They form the basis for many more other identities. In this video I explain how they are proved though.

Trig Identities 1. Proving trig identities example 1. Example 2, Example 3

Simplifying an expression using double angle formula