Algebraic and trigonometric skills

A polynomial is an algebraic expression involving many terms and can be factorised using long division or synthetic division.

Revise what logarithms are and how to use the 'log' buttons on a scientific calculator

The nature and co-ordinates of roots can be determined using the discriminant and solving polynomials.

Revise the laws of logarithms in order to solve logarithmic and exponential equations

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.

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.

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.

Composite and inverse functions can be determined for trigonometric, logarithmic, exponential or algebraic functions.