A vector line has two parts: a direction and a starting point. Vector of eq of line
Linear inequality
A System of Linear Inequalities is the set of two or more linear inequalities which are having same variables. The graph of an inequality in two variables is the set of points. Hence solution of inequalities is get by graph.Further we plot linear inequalities on graph. Therefore the overlap area will be solution of inequalities. Inequalities […]
Unit circle and trigonometric graph
Unit circle is the source for the generation of the trigonometric function graphs. The quadrants from the unit circle, when placed horizontally in numerical order, create the basis for the trigonometric graphs. Hence This process of creating graphs from the unit circle is often called “unwrapping” the unit circle. Unit circle with Trigo Graph
Sum and Difference identity
Sum or difference of angle is called compound angle. Similarly algebraic sum of two or more angles also called compound angle . Hence it solve . Sum and Difference identity
General solution of trigonometric Equati...
General Solutions of a Trig Equation. From the following diagram we see that sin( π -θ) = sin θ and cos ( -θ) = cos θ. General Solution of trigonometric eq
Sine Cosine and Area of triangle
Law of Cosines (also called the Cosine Rule) says: c2 = a2 + b2 − 2ab cos(C ). Law of Sines (or Sine Rule) is very useful for solving triangles: a sin A = b sin B = c … sine of angle B, and also equal to side c divided by the sine of […]
Algebraic Expansion
The Expansions of Algebraic Expression The formula: a(b+c) = ab + ac Algebraic Expansion. (a+b)(c+d)=ac+ad+bc+bd and (a+b)(a-b)= a ² – b² difference of square (a+b)² = a² + 2ab + b² perfect square (a-b) ²=a²-2ab+b² Expansion
Product Rule
Unit circle and trigonometric table
Trigonometrical ratio table and unit circle will help us to find the values of trigonometric standard angles. The standard angles of trigonometrical ratios are 0°, 30°45°, 60 ° . Values of table find by unit circle. Table of values of the 6 trigonometric functions sin (x), cos (x), tan(x), cot (x), sec ( x) and csc (x) for […]
Trigonometric table
The Trigonometrical ratios table will help us to find the values of trigonometric standard angles. The standard angles of trigonometrical ratios are 0°, 30°45°, 60 ° . Values of table find by unit circle. Table of values of the 6 trigonometric functions sin (x), cos (x), tan(x), cot (x), sec ( x) and csc (x) for […]
