IB DP Maths: AA HL复习笔记3.8.1 Trigonometric Proof
Trigonometric Proof How do I prove new trigonometric identities? You can use trigonometric identities you already know to prove new identities Make sure you know how to find all of the trig identit...
Trigonometric Proof How do I prove new trigonometric identities? You can use trigonometric identities you already know to prove new identities Make sure you know how to find all of the trig identit...
Inverse Trig Functions What are the inverse trig functions? The functions arcsin, arccos and arctan are the inverse functions of sin, cos and tan respectively when their domains are restricted sin ...
Reciprocal Trig Functions What are the reciprocal trig functions? What do the graphs of the reciprocal trig functions look like? The graph of y = secx has the following properties: The y-axis is a ...
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 ...
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