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 can be ...
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...
Trigonometry - Further Identities What identities do I need to know with secant, cosecant, and cotangent? There are two identities with?sec,?cosec?and?cot?that you need to know and be able to use: ...
Reciprocal Trig Functions - Graphs What does the graph of the?sec?look like? The graph of?y?=?secx?looks like this: y-axis?is a?line of symmetry has?period?(ie repeats every)?360°?or?2π?radians ver...
Reciprocal Trig Functions - Definitions What are the reciprocal trigonometric functions? There are three reciprocal trig functions corresponding to the three regular trig functions Cotangent can al...
Using Log Graphs in Modelling What are log graphs? Log graphs are used when the scale of a graph increases or decreases exponentially It can very difficult to read specific values from graphs with ...
Using Exps & Logs in Modelling What is exponential modelling? Exponential modelling is where real-life situations are modelled using exponential growth and decay Exponential growth is typically...
Exponential Growth & Decay What are exponential growth and exponential decay? y = Aekt?is exponential?growth y = Ae-kt?is exponential?decay k > 0?so plus or minus sign in equation immediatel...
Exponential Equations What are exponential equations? An equation where the unknown is a power In simple cases the solutions can be “spotted” How do I solve exponential equations? Laws of Indices a...
Laws of Logarithms What are the laws of logarithms? There are many laws or rules of indices, for example am?x an?= am+n (am)n?= amn There are equivalent laws of logarithms (for a > 0) There are ...
Derivatives of Exponential Functions What is the derivative of e? y = ex?has the particular property ie for?every?real number?x, the gradient of?y = ex?is also equal to?ex?(see Derivatives of Expon...
"e" Exponential Function What is e, the exponential function? The exponential function is?y = ex e?is an?irrational?number e ≈ 2.718 As with other exponential graphs?y = ex passes through (0, 1) ha...
