Quadratic Trigonometric Equations How are quadratic trigonometric equations solved? A quadratic can give up to two solutions You must consider both solutions to see whether a real value exists Reme...
Trigonometric Equations: sinx = k How are trigonometric equations solved? Trigonometric equations can have an infinite number of solutions For an equation in sin or cos you can add 360° or 2π to ea...
Relationship Between Trigonometric Ratios What relationships between trigonometric ratios should I know? If you know a value for one trig ratio you can often use this to work out the value for the ...
Double Angle Formulae What are the double angle formulae? The double angle formulae for sine and cosine are: These can be found in the formula booklet The formulae for sin and cos can be found in t...
Compound Angle Formulae What are the compound angle formulae? There are six compound angle formulae (also known as addition formulae), two each for sin, cos and tan: For sin the +/- sign on the lef...
Simple Identities What is a trigonometric identity? They are used to help simplify trigonometric equations before solving them Sometimes you may see identities written with the symbol ≡ This means ...
Modelling with Trigonometric Functions What can be modelled with trigonometric functions? Anything that oscillates (fluctuates periodically) can be modelled using a trigonometric function Normally ...
Transformations of Trigonometric Functions What transformations of trigonometric functions do I need to know? As with other graphs of functions, trigonometric graphs can be transformed through tran...
Graphs of Trigonometric Functions What are the graphs of trigonometric functions? The trigonometric functions sin, cos and tan all have special periodic graphs You’ll need to know their properties ...
