Chapters: Grade 11
Principle of Mathematical Induction
Complex Numbers and Quadratic Equations
Linear Inequalities
Permutations & Combinations
Binomial Theorem
Straight Lines
Conic Sections
Introduction to Three Dimensional Geometry
Limits and Derivatives
Mathematical Reasoning
Statistics
Probability
 
 
 
 
 Trigonometric Functions
 
Trigonometric Functions
Introduction
Trigonometry in Greek language means triangle measurment. As a science it was widely used in the second century B.C. by Hypparchus a greek astronomer and Rhodes another mathematician in various computation involving sides and angles of triangle. After the development of complex numbers the great contributions of De Moivre, Euler and Cauchy made trigonometry a study far from that limited to angles and triangle. It is now an essential branch of mathematical analysis.
Angles
An angle can be defined as a measure of rotation of a ray about its vertex.
   
   
Note 1: An angle is said to be positive if it is traced out by the ray in the
anti clockwise direction.
Note 2: An angle is said to be negative if it is traced out by the ray in the
clockwise direction.
Degree measure
If a rotation from the initial side to the terminal side is (1/360) th of a complete revolution, the angle is said to be one degree. It is written as 1°.
   
Note 1: One degree is divided into 60 equal parts called minutes. (denoted
by 60I)
Note 2: One minute is divided into 60 seconds (denoted by 60’’)
   
 
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