AQA A Level Maths: Pure复习笔记6.1.3 "e"
"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...
AQA A Level Maths: Pure复习笔记6.1.2 Logarithmic Functions
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...
AQA A Level Maths: Pure复习笔记6.1.1 Exponential Functions
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...
AQA A Level Maths: Pure复习笔记5.9.1 Modelling with Trigonometric Functions
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...
AQA A Level Maths: Pure复习笔记5.8.1 Trigonometric Proof
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...
AQA A Level Maths: Pure复习笔记5.7.1 Strategy for Further Trigonometric Equations
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...
AQA A Level Maths: Pure复习笔记5.6.3 R addition formulae Rcos Rsin etc
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 ...
AQA A Level Maths: Pure复习笔记5.6.2 Double Angle Formulae
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 not...
AQA A Level Maths: Pure复习笔记5.6.1 Compound Angle Formulae
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...
AQA A Level Maths: Pure复习笔记5.5.4 Inverse Trig Functions
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,...
AQA A Level Maths: Pure复习笔记5.5.3 Trigonometry - Further Identities
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: ...
AQA A Level Maths: Pure复习笔记5.5.2 Reciprocal Trig Functions - Graphs
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...
