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TOPIC 3: LOGIC (II) ~ ADV MATHEMATICS FORM 5

LOGIC LOGIC (II) SENTENCE HAVING A GIVEN TRUTH TABLE Example.1 Find a sentence which has the following truth table P Q – T T T T F T F T T F F F Step: 1. Mark lines which...

TOPIC 7: TRIGONOMETRY(II) ~ ADV MATHEMATICS FORM 5

TRIGONOMETRY(II) iii) Consider = But = = = Alternative: Using = Dividing by cos3θ numerator and denominator Applications of the double and triple formulae A. Proving Identities Examples: Prove the following...

TOPIC 7: TRIGONOMETRY (I) ~ ADV MATHEMATICS FORM 5

TRIGONOMETRY Trigonometry 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)...

TOPIC 3: LOGIC (I) ~ ADV MATHEMATICS FORM 5

LOGIC Logic concerns with the study of analysis of methods of reasoning which lead to certain conclusion or statement. Example If it rains today we shall play...

TOPIC 8: LINEAR PROGRAMING ~ ADV MATHEMATICS FORM 5

LINEAR PROGRAMING Is a branch of mathematics which enables one to solve problems which either the greatest or minimum/least value of a certain quantity is...

TOPIC 6: ALGEBRA ~ ADV MATHEMATICS FORM 5

ALGEBRA Indices (law of exponents) Three basic rules including the Indices are: i) am x an = am + n ii) am ÷ an = am...

TOPIC 4: COORDINATE GEOMETRY I ~ ADV MATHEMATICS FORM 5

COORDINATE GEOMETRY -Is the conic section whose eccentricity is equal to zero. -Coordinate geometry is the study of representation of geometry figure either on...

TOPIC 9: DIFFERENTIATION ~ ADV MATHEMATICS FORM 5

DIFFERENTIATION DERIVATIVES Slope of a curve A curve has different slopes at each point. Let A, B, and C be different points of a curve f...

TOPIC 1: CALCULATING DEVICES ~ ADV MATHEMATICS FORM 5

CALCULATING DEVICES Operations with the scientific CALCULATOR 1. Addition a) 375 + 601 = 976 b) 401 + 2801 + 70120 + 3 = 73, 325 c) 0.0175 +...

TOPIC 11: COORDINATE GEOMETRY II | MATHEMATICS FORM 6

CONIC SECTIONS Definition Conic sections or conics are the sections whose ratios of the distance of the variables point from the fixed point to the distance, or the...

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