Algebraic and trigonometric skills
Dividing and factorising polynomial expressions
A polynomial is an algebraic expression involving many terms and can be factorised using long division or synthetic division.
Laws of logarithms and exponents
Revise what logarithms are and how to use the 'log' buttons on a scientific calculator
Solving polynomial equations
The nature and co-ordinates of roots can be determined using the discriminant and solving polynomials.
Solving logarithmic and exponential equations
Revise the laws of logarithms in order to solve logarithmic and exponential equations
Trigonometric expressions
The addition formulae and trigonometric identities are used to simplify or evaluate trigonometric expressions. Trigonometric equations are solved using a double angle formulae and the wave function.
Solving trigonometric equations
Trigonometric equations can be solved in degrees or radians using CAST and its period to find other solutions within the range, including multiple or compound angles and the wave function.
Identifying and sketching related functions
The rules from graph translations are used to sketch the derived, inverse or other related functions. Complete the square to find turning points and find expression for composite functions.
Determining composite and inverse functions
Composite and inverse functions can be determined for trigonometric, logarithmic, exponential or algebraic functions.
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