BOARDS MATH FORMULAS

Logarithmic and Exponent Function

Binomial Theorem Expansion

Note:
-Brth term - used to expand the function

-rth term - used to get the specific term

variables:

n = exponent

r = term we’re looking

a = 1st term

b = 2nd term

COMMON NO. SERIES/PROGRESSION

DESCARTE’S RULE OF SIGNS

QUADRATIC EQUATION SUM AND PRODUCT ROOTS

CUBIC EQUATION SUM AND PRODUCT ROOTS

4th DEGREE AND ABOVE SUM AND PRODUCT ROOTS

ARITHMETIC PROGRESSION

GEOMETRIC PROGRESSION

HARMONIC PROGRESSION

RELATIONSHIP BETWEEN AM, GM, & HM

Reciprocal Identities

Quotient Identities

Pythagorean Identities

Even-Odd identities

Cofunction/Complimentary Angle Identities

Angle Sum/Difference Identities

Product to Sum Identities

Double Angle identities

Triple Angle Identity

Half Angle Identities

Functions of -θ

Inverse Trigonometric Functions (Reciprocal Trig functions)

Sine Law

Cosine Law

Perimeters of Polygons

Area For Common Plane Figures

Volume and Surface Area For Common Solids

LSA and TSA of Common Solids

Frustum of a Cone

Prismoidal Formula

Spherical Wedge

Cylindrical Wedge

Hemisphere

Steinmetz Solid

Tetrahedron

Volume of an Oblate Spheroid

Lune Formula (Area)

Sphere Zone (Area)

Parts of a Circle

Area of a Triangle

Power Theorems

Triangle — Circle Relationships

Area of a regular polygon using its circumradius:

Trapezoid

Centroid of all Shapes

General Quadrilateral Formulas

General Equation and Standard Forms of a Line

Circle (Analytic Geometry)

Parabola (Analytic Geometry)

Ellipses (Analytic Geometry)

Hyperbolas (Analytic Geometry)

discriminant of a general conic equation:

Circle (Polar Curves)

Polar Curves

Polar Curves

Distance formula

Directrix formula for ellipse and hyperbola

Internal Division

External Division

Lines Intersects Parallel and Perpendicular

Note: For Perpendicular/Orthogonal

• don’t add the C, only use n = (A,B)

Tetrahedron Volume

Angle Bisector Formula

Angle Between 2 Lines

3D Coordinate Geometry — Equation of a Line Segment

3D Coordinate Geometry — Equidistant Points

DISTANCE BETWEEN 2 SKEW LINES

DISTANCE BETWEEN 2 PARALLEL LINES

L’hopitals Rule

Differentiate lang nang differentiate until hindi na mag indeterminate form

Exponential and Logarithmic Derivatives

Inverse Trigonometric Derivatives

Parametric Equations

Slope and Equations of Tangent and Normal Line

Critical Points

First Derivative

Relative Maxima

Note:

If negative, relative maximum

If positive, relative minimum

Concavity

Differentials

Radius of Curvature

Slope of a Polar Curve

Minimum Length of Ladder/Girder

Implicit Function Theorem formula

Polar Equation of a Circle

Chain Rule and FTC Part 1

Wallis’ Formula

Area Formula Integration

TRIG SUB

Average Integral

Wallis’ Formula (One function)

inverse trigonometric integrals

IBP

Volume Integration

Arc Length

Surface Area of Revolution

Centroid

Centroid (Area and Volume)

Moment of Inertia

Moment of Inertia (Parallel and Perpendicular Axis)

Polar Moment of Inertia

Pappus Theorem

Hydrostatic Force