 ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – ET THEORY

ET THEORYThe word set is used to denote a collection of well defined objects ∙ Set are denoted by capital letters e.g. A, B, C, ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – TRIGONOMETRY(2)

iii) Consider =But = ==Alternative: Using =Dividing by cos3θ numerator and denominator Applications of the double and triple formulaeA. Proving Identities Examples: Prove the following ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – TRIGONOMETRY(1)

TRIGONOMETRYTrigonometry is the study of angle measurement and functions that depends on angle.The fundamental trigonometric ratios are Sine (sin)Cosine (Cos)Tangent (Tan)Others are cosecant (cosec) Secant ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – LOGIC (2)

SENTENCE HAVING A GIVEN TRUTH TABLEExample.1 Find a sentence which has the following truth tablePQ–TTTTFTFTTFFFStep: 1. Mark lines which are T in last column 2. ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – LOGIC(1)

LOGICLogic concerns with the study of analysis of methods of reasoning which lead to certain conclusion or statement.ExampleIf it rains today we shall play football. ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – CIRCLE

CIRCLEIs the locus which sown on xy – plane so that it always constant distance i.e. radius from fixed pilot i.e. Centre. − Where the ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – COORDINATE GEOMETRY

COORDINATE GEOMETRY -Is the conic section whose eccentricity is equal to zero. -Coordinate geometry is the study of representation of geometry figure either on two ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – FUNCTION AND RELATION

FUNCTION AND RELATIONFUNCTIONS:Is the corresponding between two objects. E.g older than. Smaller than ect.Relation can be thought as:(i) Rule(ii) A mapping Example (iii) A graph ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – ALGEBRA

ALGEBRAIndices (law of exponents)Three basic rules including the Indices are: i) am x an = am + n ii) am ÷ an = am – ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – LINEAR PROGRAMING

LINEAR PROGRAMINGDefinitionIs a branch of mathematics which enables one to solve problems which either the greatest or minimum/least value of a certain quantity is required ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – DIFFERENTIATION

DIFFERENTIATION DERIVATIVESSlope of a curve A curve has different slopes at each point. Let A, B, and C be different points of a curve f ### MATHEMATICS As LEVEL(FORM FIVE) NOTES – CALCULATING DEVICES

CALCULATING DEVICESOperations with the scientific CALCULATOR1. Additiona) 375 + 601 = 976b) 401 + 2801 + 70120 + 3 = 73, 325c) 0.0175 + 2.561 ### MATHEMATICS O LEVEL(FORM FOUR) NOTES – TRANSFORMATION IN THE PLANE

TRANSFORMATION IN THE PLANETransformation in the plane is a mapping which shifts an object from one position to another within the same plane.Examples of transformations ### MATHEMATICS O LEVEL(FORM FOUR) NOTES – MATRICES

MATRICESOperations on matricesA matrix represents another way of writing information. Here the information is written as rectangular array. For example two students Juma and Anna ### MATHEMATICS O LEVEL(FORM FOUR) NOTES – LINEAR PROGRAMMING

LINEAR PROGRAMMING SIMULTANEOUS EQUATIONS Solving simultaneous equations graphically, the solution is given by the point of intersection of the two lines.Examples 1. Solve graphically the