# Class 11 Syllabus

## Trigonometry # Class 11 Syllabus

Class 11 Maths Syllabus is given below. Students can get to know the weightage of all the chapters and be able to prepare with suitable strategies to excel in the examination. As CBSE released the term wise syllabus for 2021-22, the term wise syllabus and weightage are given for Class 11 maths here.

## Class 11 Maths Syllabus For 2021-22 Term 1

Class 11 syllabus of Maths is divided into five units and the weightage for each of these units for Term 1 paper is tabulated below. This will help the students to concentrate on the topics to score maximum marks.

One Paper

90 Minutes                                                                                                                           Max Marks: 40

 No. Units Marks I Sets and Functions 11 II Algebra 13 III Coordinate geometry 06 IV Calculus 04 V Statistics and Probability 06 Total 40 Internal Assessment 10

Note: *No chapter-wise weightage. Care to be taken to cover all the chapters.

## Class 11 Maths Syllabus For 2021-22 Term 2

The continuation of five units of the syllabus of Class 11 Mathematics will be covered in Term 2. The unit-wise weightage and total marks for Term 2 of Class 12, 2021-22 exam is tabulated below.

One Paper

90 Minutes                                                                                                                              Max Marks: 40

 No. Units Marks I Sets and Functions (Cont.) 8 II Algebra (Cont.) 11 III Coordinate geometry (Cont.) 09 IV Calculus (Cont.) 06 V Statistics and Probability (Cont.) 06 Total 40 Internal Assessment 10

The below unit-wise links have drop down lists of chapters and subtopics. Each unit has some specific chapters. Students can access all the topics of Class 11 Maths syllabus by clicking on the links given for units I, II, III, IV, V and the respective chapter names in the dropdown lists.

#### 3. Trigonometric Functions

• Positive and negative Angles.
• Definition of trigonometric functions with the help of the unit circle.
• Truth of the sin2x+cos2x=1, for all x.
• Signs of trigonometric functions
• Domain and range of trigonometric functions and their graphs.
• Measuring angles in radians and in degrees and conversion of one into other. Expressing sin (x±y) and cos (x±y) in terms of sin x, sin y, cos x & cos y and their simple application.
• Deducing identities like the following: Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x.
• General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

#### 1. Principle of Mathematical Induction

• Process of the proof by induction.
• Motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers.
• The principle of mathematical induction and simple applications.

#### 2. Conic Sections

• Sections of a cone: Circles, ellipse, parabola, hyperbola; a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section.
• Standard equations and simple properties of parabola, ellipse and hyperbola.
• Standard equation of a circle.

#### 1. Mathematical Reasoning

• Mathematically acceptable statements.
• Connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through variety of examples related to real life and Mathematics.
• Validating the statements involving the connecting words difference between contradiction, converse and contrapositive.