Logarithmic Functions Logarithmic functions a = bx?and?log?b?a = x?are equivalent statements a > 0 b?is called the base Every time you write a logarithm statement say to yourself what it means l...
Exponential Functions Exponential functions Exponential functions of the form?y = ax?with?a > 0?are considered at A level Exponential graphs All graphs of the form?y = ax?will pass through (0, 1...
Modelling with Trigonometric Functions Modelling with trigonometric functions Various real-life situations can be modelled using trigonometric functions You need to be able to interpret the equatio...
Trigonometric Proof Proving trigonometric identities You can use trigonometric identities you already know to prove new identities Make sure you know the?simple trigonometric identities?and?further...
Strategy for Further Trigonometric Equations How to approach solving harder trig equations You can solve harder trig equations, such as those involving?reciprocal?and?inverse?functions in a variety...
R addition formulae Rcos Rsin etc How can I simplify expressions like?a?sin?x?±?b?cos?x? or?a?cos?x?±?b?sin?x? If?a?and?b?are positive constants, then a?sin?x?+?bcos?x?can be rewritten as?R?sin?(x?...
Double Angle Formulae What are the double angle formulae? The?double angle formulae?are derived from the 'A+B' versions of the?compound angle formulae: Exam Tip The double angle formulae are...
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...
Inverse Trig Functions What are arcsin, arccos and arctan? These functions are the?inverse functions?of?sin,?cos?and?tan sin?(arcsin?x)?=?x cos?(arccos?x)?=?x tan?(arctan?x)?=?x The domains of?sin,...
