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

By the end of this module you will be expected to have learnt the following formulae: Dividing and Factoring Polynomials Remainder Theorem 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 Theorem 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 Function The Laws of Exponents where c is a constant Logarithmic Function The inverse of is which is equivalent to Change of Base Rule: can be written as Laws of Logarithmic Functions When X and Y are positive. Circles and Angles Conversion of Degree Minutes and Seconds to a Decimal where X is the degree, y is the minutes, and z is the seconds. Arc Length Note: θ need to be in radians Area of a Sector Note: θ need to be in radians. Trigonometry The Trigonometric Ratios Of An Angle Function Written Defined Inverse Function Written Equivalent to Cosine Sine Tangent Important Trigonometric Values You need to have these values memorized. 0 0 1 0 1 0 - The Law of Cosines The Law of Sines Area of a Triangle Trigonometric Identities Integration Integration Rules 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 Integrals , F is the anti derivative of f such that F' = f Area between a curve and the x-axis is Area between a curve and the y-axis is Area between curves is Trapezium Rule Where: Midpoint Rule Where: n is the number of strips. and