A-level Mathematics/OCR/C2/Appendix A: Formulae

< A-level Mathematics‎ | OCR‎ | C2

By the end of this module you will be expected to have learnt the following formulae:


Dividing and Factoring PolynomialsEdit

Remainder TheoremEdit

If you have a polynomial f(x) divided by x - c, the remainder is equal to f(c). Note if the equation is x + c then you need to negate c: f(-c).

The Factor TheoremEdit

A polynomial f(x) has a factor x - c if and only if f(c) = 0. Note if the equation is x + c then you need to negate c: f(-c).

Formula For Exponential and Logarithmic FunctionEdit

The Laws of ExponentsEdit

  1. where c is a constant

Logarithmic FunctionEdit

The inverse of is which is equivalent to

Change of Base Rule: can be written as

Laws of Logarithmic FunctionsEdit

When X and Y are positive.

Circles and AnglesEdit

Conversion of Degree Minutes and Seconds to a DecimalEdit

where X is the degree, y is the minutes, and z is the seconds.

Arc LengthEdit

Note: θ need to be in radians

Area of a SectorEdit

Note: θ need to be in radians.


The Trigonometric Ratios Of An AngleEdit

Function Written Defined Inverse Function Written Equivalent to

Important Trigonometric ValuesEdit

You need to have these values memorized.

0 0 1 0
1 0 -

The Law of CosinesEdit

The Law of SinesEdit

Area of a TriangleEdit

Trigonometric IdentitiesEdit


Integration RulesEdit

The reason that we add a + C when we compute the integral is because the derivative of a constant is zero, therefore we have an unknown constant when we compute the integral.

Rules of Definite IntegralsEdit

  1. , F is the anti derivative of f such that F' = f
  2. Area between a curve and the x-axis is
  3. Area between a curve and the y-axis is
  4. Area between curves is

Trapezium RuleEdit


Midpoint RuleEdit

Where: n is the number of strips.


This is part of the C2 (Core Mathematics 2) module of the A-level Mathematics text.

Dividing and Factoring Polynomials / Sequences and Series / Logarithms and Exponentials / Circles and Angles / Integration

Appendix A: Formulae