# Tag: MATHEMATICS

### 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...