Trigonometric Ratios

Topics

Number Systems
Real Numbers
- Introduction of Real Numbers
- Real Numbers Examples and Solutions
- Euclid’s Division Lemma
- Fundamental Theorem of Arithmetic
- Fundamental Theorem of Arithmetic Motivating Through Examples
- Proofs of Irrationality
- Concept of Irrational Numbers
- Revisiting Rational Numbers and Their Decimal Expansions
Algebra
Pair of Linear Equations in Two Variables
- Linear Equations in Two Variables
- Graphical Method of Solution of a Pair of Linear Equations
- Substitution Method
- Elimination Method
- Cross - Multiplication Method
- Equations Reducible to a Pair of Linear Equations in Two Variables
- Consistency of Pair of Linear Equations
- Inconsistency of Pair of Linear Equations
- Algebraic Conditions for Number of Solutions
- Simple Situational Problems
- Pair of Linear Equations in Two Variables
- Relation Between Co-efficient
Arithmetic Progressions
- Arithmetic Progression
- General Term of an Arithmetic Progression
- nth Term of an AP
- Sum of First n Terms of an AP
- Derivation of the n th Term
- Application in Solving Daily Life Problems
- Arithmetic Progressions Examples and Solutions
Quadratic Equations
- Quadratic Equations
- Solutions of Quadratic Equations by Factorization
- Solutions of Quadratic Equations by Completing the Square
- Nature of Roots
- Relationship Between Discriminant and Nature of Roots
- Situational Problems Based on Quadratic Equations Related to Day to Day Activities to Be Incorporated
- Quadratic Equations Examples and Solutions
Polynomials
- Concept of Polynomials
- Geometrical Meaning of the Zeroes of a Polynomial
- Relationship Between Zeroes and Coefficients of a Polynomial
- Division Algorithm for Polynomials
- Concept of Polynomials
Geometry
Circles
- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Tangent to a Circle
- Number of Tangents from a Point on a Circle
- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
Triangles
- Similar Figures
- Similarity of Triangles
- Basic Proportionality Theorem Or Thales Theorem
- Criteria for Similarity of Triangles
- Areas of Similar Triangles
- Right-angled Triangles and Pythagoras Property
- Similarity Triangle Theorem
- Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
- Triangles Examples and Solutions
- Angle Bisector
- Similarity
- Ratio of Sides of Triangle
Constructions
- Division of a Line Segment
- Construction of Tangents to a Circle
- Constructions Examples and Solutions
Trigonometry
Heights and Distances
- Heights and Distances
Trigonometric Identities
- Trigonometric Ratios of Complementary Angles
- Trigonometric Identities
Introduction to Trigonometry
- Trigonometry
- Trigonometry
- Trigonometric Ratios
- Trigonometric Ratios and Its Reciprocal
- Trigonometric Ratios of Some Special Angles
- Trigonometric Ratios of Complementary Angles
- Trigonometric Identities
- Proof of Existence
- Relationships Between the Ratios
Statistics and Probability
Probability
- Basic Ideas of Probability
- Probability - A Theoretical Approach
- Sample Space
- Basic Ideas of Probability
- Concept Or Properties of Probability
- Simple Problems on Single Events
Statistics
- Concepts of Statistics
- Mean of Grouped Data
- Mode of Grouped Data
- Median of Grouped Data
- Graphical Representation of Cumulative Frequency Distribution
- Concepts of Statistics
- Ogives (Cumulative Frequency Graphs)
Coordinate Geometry
Lines (In Two-dimensions)
- Coordinate Geometry
- Coordinate Geometry
- Distance Formula
- Section Formula
- Area of a Triangle
- Graphs of Linear Equations
- Basic Geometric Constructions
Mensuration
Areas Related to Circles
- Circumference of a Circle
- Areas of Sector and Segment of a Circle
- Areas of Combinations of Plane Figures
- Circumference of a Circle
- Area of Circle
Surface Areas and Volumes
- Concept of Surface Area, Volume, and Capacity
- Surface Area of a Combination of Solids
- Volume of a Combination of Solids
- Conversion of Solid from One Shape to Another
- Frustum of a Cone
- Concept of Surface Area, Volume, and Capacity

definition

Trigonometric functions are typically used to calculate unknown lengths or angles in a right triangle.

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Topics

Number Systems

Real Numbers

Algebra

Pair of Linear Equations in Two Variables

Arithmetic Progressions

Quadratic Equations

Polynomials

Geometry

Circles

Triangles

Constructions

Trigonometry

Heights and Distances

Trigonometric Identities

Introduction to Trigonometry

Statistics and Probability

Probability

Statistics

Coordinate Geometry

Lines (In Two-dimensions)

Mensuration

Areas Related to Circles

Surface Areas and Volumes

definition

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