# Online Maths Dictionary for Maths Formulas

Online Maths Dictionary for Maths Formulas includes formulas for TRIGONOMETRY, ALGEBRA, CO-ORDINATE GEOMETRY, CALCULUS, VECTOR, Three Dimensonal or 3-D GEOMETRY, STATISTICS, DYNAMICS, SOME EXTRA TOPICS which are arranged in Topic Wise Arrangement as well as individual chapter wise formulas.

## Total 51 Pages

Topics Covered in **Online Maths Dictionary in PDF**

- TRIGONOMETRY
- ALGEBRA
- CO-ORDINATE GEOMETRY
- CALCULUS
- VECTOR & 3-D GEOMETRY
- STATISTICS
- STATICS & DYNAMICS
- SOME EXTRA TOPICS

## Topic Wise Maths Formulas for Trigonometry in PDF

### Maths Formulas for TRIGONOMETRIC RATIO & IDENTITIES

Topics Covered in Maths Formulas for Trigonometric Ration & Identities are Relation between systems of measurement of angles, Fundamental Trigonometric Identities, Sign of trigonometrical ratios or functions, Trigonometric ratios of allied angles, Sum and Difference formulae, Formulae for product into sum or difference conversion, Trigonometrical Ratios of multiple angles, Some Useful IdentitiesSome Useful Series

### Maths Formulas Trigonometric Equations

Trigonometric Equations Formulas for General solution of the equation sin q = 0, General solution of the equation, General solution of the equation, General solution of the equation, General solution of the equation, Formulae for Sum & Differences of Inverse Trigonometric Functions, Inverse trigonometric ratios of multiple angles.

### Maths Formulas PROPERTIES & SOLUTION OF TRIANGLE

Properties & Solutions of Triangle Formulas for Sine Rule, Cosine Rule, Projection formulae, Trigonometrical ratios of the Half angles of a triangle, Area of triangle, Hero’s Formulae, Circumcircle of a triangle and its radius, Inscribed circle or incircle of a triangle and its radius, Escribed circles of a triangle and their radii.

### Maths Formulas HEIGHT & DISTANCE

Height and Distance Formulas for Angle of elevation, Angle of depression, Some useful Results.

## Topic Wise Maths Formulas for ALGEBRA in PDF

### Maths Formulas LOGARITHM AND MODULUS FUNCTIONS

Lag Formulas includes Logarithm Definition, Properties of Logarithms, Logarithmic Inequality, Important Discussion, Modulus Function.

### Maths Formulas QUADRATIC EQUATIONS AND EXPRESSION

Quadratic Equations and Expression Formulas includes Formulas for Quadratic Expression, Nature of Roots, Conjugate Roots, Sum of Roots, Product of Roots.

### Maths Formulas COMPLEX NUMBER

Complex Number Formulas includes Formulas for Real number system, Imaginary Number, Integral power of iota, Complex Number, Properties of conjugate complex number, Properties of Modulus of a Complex Number, Properties of Argument of a Complex Number, Square root of a complex number.

### Maths Formulas DE-MOIVRE’S THEOREM

De-Moivre’s Theorem Formulas includes formulas for De-Moivre’s Theorem, Euler’s Formula, Cube root of unity, Continued product of the roots, The sum of pth powers of nth roots of unity, Some important results.

### Maths Formulas PROGRESSION & SERIES

Progression & Series Formulas includes Formulas for Arithmetic Progression (A.P.), General Term of an A.P., Sum of n terms of an A.P, Supposition of terms in A.P. :, Some standard results, General Term of a G.P, Sum of an infinite G.P, Geometrical Mean (G.M.), n GM’s between two given numbers, Supposition of terms in G.P, Arithmetico-Geometrical Progression (A.G.P.), General term of H.P, Harmonical Mean (H.M.), Relation between A.M., G.M. & H.M.

### Maths Formulas BINOMIAL THEOREM

Binomial Theorem Formulas includes Formulas for Binomial Theorem for positive integral index, General Term, Deductions of Binomial Theorem, Number of terms in the expansion of, Middle term in the expansion of (x a)n, Greatest term in the expansion of (x + a)n, Binomial Theorem for any Index, Some Important expansions.

### Maths Formulas PERMUTATIONS & COMBINATIONS

Permutations and Combinations (PnC) Formulas includes Formulas for Factorial Notation, Fundamental principle of multiplication, Fundamental principle of addition, Permutations, Restricted Permutations, Number of Circular Permutations, Combinations, Some important results, Restricted Combinations, Total number of combinations in different cases, Division into groups, Dearrangement Theorem, Some Important results about points,

### Maths Formulas EXPONENTIAL & LOGARITHMIC SERIES

Exponential & Logarithmic Series Formulas includes Formulas for The number e, Some standard deduction from exponential series, Logarithmic Series,

### Maths Formulas PROBABILITY

Probability Formulas includes Formulas for Probability Definitions, Mathematical Definition of Probability, Odds for an event, Addition theorem of probability, Multiplication Theorem of Probability, Probability of at least one of the n independent events, Binomial distribution for repeated trials,

### Maths Formulas DETERMINANTS

Determinants Formulas includes Formulas for Minor & Cofactor, Multiplication of Two Determinants, Symmetric determinant, Skew Symmetric Determinant, Crammer’s Rule.

### Maths Formulas MATRICES

Matrices Formulas includes Formulas for Order of matrix, Types of matrices, Addition and subtraction of matrices, Scalar multiplication of matrices, Multiplication of matrices, Positive Integral powers of a Matrix, Transpose of matrix, Symmetric Matrix, Skew-Symmetric Matrix, Adjoint of a matrix, Inverse of a Matrix, Some special cases of matrices.

## Topic Wise Maths Formulas for CO-ORDINATE GEOMETRY in PDF

### Maths Formulas Point

Point Formulas includes Formulas for POINTS, Distance between two points, For internal division, For external division, Co-ordinates of mid point of PQ are, Co-ordinates of centroid, Area of Triangle ABC, Area of quadrilateral, Rotational Transformations, Reflection (Image) of a point.

### Maths Formulas STRAIGHT LINE

Straight Line Formulas includes Formulas for Slope point form, Two point form, Intercept Form, Normal (perpendicular) form of a line, Parametric form (distance form), The angle between two straight lines, Two lines are parallel if m1 = m2 ., Two lines are perpendicular if, m1m2 = -1., Length of perpendicular, Distance between two parallel lines.

### Maths Formulas CIRCLE

Circle Formulas includes formulas for General equation of a circle, Central form of equation of a circle, Diametral Form, Position of a Point with respect to a circle, Intercepts made on coordinate axes by the circle, Length of Tangent, Pair of Tangents, Chord of contact, Director Circle, Equation of Polar and coordinates of pole, Diameter of a circle, Condition of Orthocenter, Point of Contact, Radical Axis and Radical Centre.

### Maths Formulas PARABOLA

Parabola Formulas includes Formulas and Definition for Parabola, Double Ordinate, Length of latus rectum, Parameters of the Parabola y2 = 4ax, Parametric equation of Parabola, Equation of chord joining any two point of a parabola, Length of intercept, Condition of Tangency, Point Form, Parametric Form, Slope Form, Normal Chord, Length of Normal chord is given by, Pair of tangents, Equation of Polar, Coordinates of Pole, Diameter of the parabola, The area of triangle formed inside the parabola.

### Maths Formulas ELLIPSE

Ellipse Formulas includes Standard form of the equation of ellipse, Relation between constant a, b and c, The general equation of an ellipse whose focus is, Condition for second degree in X & Y to represent, Then the equation of ellipse in the parametric form, The equation of the normal at any point ‘f’ is,

### Maths Formulas HYPERBOLA

Hyperbolo Formulas section includes Standard Equation of hyperbola, Eccentricity : For the hyperbola.

## Topic Wise Maths Formulas for CALCULUS in PDF

### Maths Formulas FUNCTIONS

Functions Formulas includes Formulas for Numbers and their sets, Interval, Function, Even function, Odd function, Properties of Even and Odd Function, Explicit Function, Implicit Function, Increasing Function, Decreasing Function, Greatest Integer Function, Periodic Function, Kinds of functions, Composite function, Inverse Function.

### Maths Formulas LIMITS

Limits Formulas includes Formulas for Indeterminate form, Limits of a function, Existence of limit, Theorems on limits, Methods of evaluation of limits,

### Maths Formulas CONTINUITY

Continuity of a function at a point, Continuity of a function in an interval, Continuous functions, Discontinuous functions, Properties of continuous function,

### Maths Formulas DIFFERENTIATION

Differentiation formulas includes Formulas for Differential Coefficient, Differentiability of a function, Differentiability in an interval, Differential coefficient of some standard function, Some theorems on Differentiation, Differentiable of implicit functions, Differentiation of logarithmic functions, Differentiation of infinite series, nth Derivatives of Some Standard Functions.

### Maths Formulas TANGENT & NORMALS

Tengent & Normals formulas includes Formulas for Geometrical interpretation of the derivative, Length of intercepts made on axes by the tangent, Length of perpendicular from origin to the tangent, Equation of Normal, Angle of intersection of two curves, Length of tangent, Normal, subtangent and sub normal, Point of Inflexion.

### Maths Formulas MONOTONICITY

Monotonicity formulas includes Formulas for Monotonic Function, Method of testing monotonicity.

### Maths Formulas MAXIMA & MINIMA

Maxima & Minima formulas includes Formulas for Maximum & Minimum Points, Conditions for Maxima & Minima of a function, Working rule for finding Maxima & Minima, Greatest & Least values of a function in a given interval, Properties of Maxima & MinimaSome standard Geometrical results related to Maxima & Minima.

### Maths Formulas INDEFINITE INTEGRATION

Indefinite Integration formulas includes Formulas for Integration of a function, Basic theorems on Integration, Standard Integrals, Integration by substitution, Integrand by parts, Integration of fractional function, Integration of irrational functions, Integrate of Trigonometric Functions.

### Maths Formulas DEFINITE INTEGRATION

Definite Integration formulas includes Formulas for Definition, Properties of Definite Integral, Some important formulae, Summation of series by integration.

### Maths Formulas AREA UNDER THE CURVE

Area Under the Curve formulas includes Formulas for Area bounded by a curve, Symmetrical Area, Area between two curves.

### Maths Formulas DIFFERENTIAL EQUATIONS

Differential Equations formulas includes Formulas for Differential Equation, Order of differential equation, Degree of differential equation, General Solution, Differential equations of the form of, Differential Equation of homogeneous type, Differential Equations reducible to homogeneous form, Linear differential equations, Equation reducible to linear form, Differential equation in the form of.

## Maths Formulas VECTOR & 3-D GEOMETRY in PDF

### Maths Formulas ADDITION OF VECTORS

Addition of Vectors formulas includes Formulas for Types of Vectors, Addition of Vectors, Subtraction of vectors, Vectors in terms of position vectors of end points, Distance between two points, Relation between two parallel vectors, Coplanar & non-coplanar vector.

### Maths Formulas PRODUCT OF VECTORS

Product of Vectors formulas includes Formulas for Dot Product, Vector Product, Scalar or dot product of two vectors, Properties of scalar product, Angle between two vectors, Components of b along & perpendicular to a, Work done by the force, Vector or cross product of two vectors, Vector product in terms of components, Angle between two vectors, Properties of vector product, Area of triangle, Area of parallelogram, Moment of force, Formula for scalar Triple Product, Properties of scalar triple product, Volume of Parallelopiped, Volume of tetrahedron, Vector triple product,

## Maths Formulas 3-DIMENSIONAL GEOMETRY in PDF

2-Dimensional Geometry formulas includes Formulas for Distance Between Two Points, Coordinates of Division Point, Direction cosines of a line [Dc’s], Direction ratios of a line, Direction cosines of a line joining two points, Angle between two lines, Conditions of parallelism and perpendicularity of two lines, Projection of a line segment joining two points on a line, Cartesian equation of a line passing through a given point & given point & given direction ratios, Cartesian equation of a line passing through two given points, Perpendicular distance of a point from a line, Plane, Angle between two planes in Cartesian form, Distance of a point from a plane, Equation of plane bisecting the angle between two given planes, Condition of coplanarity of two lines, Sphere.

## Maths Formulas STATISTICS

### Maths Formulas MEASURE OF CENTRAL TENDENCY & DISPERSION

Measure of Central Tendency & Dispersion formulas includes Formulas for Arithmetic mean, Weighted arithemetic mean, Combined mean, Properties of Arithmetic Mean, Geometric Mean, Harmonic Mean, Relation between A.M., G.M., and H.M, Median of an individual series, Median of the discrete frequency distribution, Median of grouped data or continuous series, Computation of Mode, Mode for continuous frequency distribution, Relationship between mean, mode and median, Mean deviation of individual observation, Mean deviation of a discrete frequencydistribution, Mean deviation of a grouped or continuous frequency distribution, Variance of individual observation, Variance of a discrete frequency distribution.

### Maths Formulas CORRELATION & REGRESSION

Coorelation & Regression formulas includes Formulas for Co-variance, Coefficient of Correlation, Rank Correlation, Properties of Correlation Coefficient (r), Line or regression, Regression coefficient, Important points on Regression Lines, Standard error of Prediction,

### Maths Formulas STATICS & DYNAMICS

Statics & Dynamics formulas includes Formulas for STATICS, Resultant of two coplanar forces, Component of force, Lami’s Theorem, Triangle Law of Forces, Trigonometrical Theorem, Friction, Velocity, Acceleration, Retardation, Rectilinear motion, Projection on an inclined plane, Apparent weight in a lift when in motion, Newton’s law of collision,

## Maths Formulas SOME EXTRA TOPICS

### Maths Formulas HYPERBOLIC FUNCTIONS

Hyperbolic Functions formulas includes Formulas for Hyperbolic functions, Domain & Range of Hyperbolic Functions, Formulae for hyperbolic function, Relation between hyperbolic and circular function, Period of hyperbolic functions, Relation between interve Hyperbolic function and inverse circular function, Relation between inverse hyperbolic functions and logarithmic functions.

### Maths Formulas SEPARATION OF REAL & IMAGINARY PARTS

Separation of Real and Imaginary Parts formulas includes Formulas for Separation of algebraic Function, Separation of Inverse Trigonometric & Inverse Hyperbolic Functions, Separation of trigonometric and hyperbolic functions, Separation of Logarithmic functions, Separation of exponential functions, Separation of expression of the form(Function).

### Maths Formulas NUMERICAL METHODS

Numerical Methods formulas includes Formulas for Iterative method of solving equations, Trapezoidal Rule, Simpson’s One Third Rule,

### Maths Formulas LINEAR PROGRAMMING PROBLEMS

Linear Programming Problems formulas includes Formulas for Linear inequations, Graphs of Linear inequations, Feasible Region, Linear Programming Problems (L.P.P.), Some Definitions, Graphical method of solution of Linear Programming Problems, Convex Sets.

## Maths Formulas: Online Dictionary

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