All Basic Math Formulas: Mathematics is divided into various branches as per the way of calculation involved and the topics covered by them all the branches have various formulas that are used for solving various mathematics problems. The branches include geometry, algebra, arithmetic, percentage, exponential, etc.
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All formulas of Maths, All formulas of Maths, Basic Maths Formulas PDF, Algebra Formula: Definition, Formulas and Examples
This
article will provide you with all the basic formulas for different branches of Mathematics
Including Trigonometry, Geometry, Algebra, Probability, Coordinate Geometry,
etc.
Basic Math Formulas Description
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a comprehensive guide to mathematical formulas with clear explanations
and practical examples for each concept. From basic arithmetic to
advanced calculus, find everything you need to understand and apply
mathematical formulas effectively.
All Mathematical Formulas with Examples Key Points
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Sub Headings
1. Introduction to Mathematical Formulas
o Definition and Importance
o How Formulas Simplify Problem
Solving
2.
Basic Arithmetic Formulas
o Addition, Subtraction,
Multiplication, Division
o Examples:
§ a+b=b+aa + b = b + aa+b=b+a
§ a×(b+c)=a×b+a×ca \times (b + c) = a
\times b + a \times ca×(b+c)=a×b+a×c
3.
Algebraic Formulas
o Linear Equations
o Quadratic Equations
o Examples:
§ ax+by=cax + by = cax+by=c
§ ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0
4.
Geometry Formulas
o Area and Perimeter of Shapes
o Volume of Solids
o Examples:
§ Area of a Triangle: 12×base×height\frac{1}{2}
\times base \times height21×base×height
§ Volume of a Cylinder: π×radius2×height\pi \times radius^2 \times heightπ×radius2×height
5.
Trigonometric Formulas
o Basic Trigonometric Identities
o Laws of Sines and Cosines
o Examples:
§ sin2θ+cos2θ=1\sin^2 \theta + \cos^2 \theta = 1sin2θ+cos2θ=1
§ Law of Cosines: c2=a2+b2−2abcosCc^2 = a^2 + b^2 - 2ab \cos Cc2=a2+b2−2abcosC
6.
Calculus Formulas
o Differentiation and Integration
o Examples:
§ Derivative of f(x)=xnf(x) = x^nf(x)=xn:
f′(x)=nxn−1f'(x) = nx^{n-1}f′(x)=nxn−1
§ Integral of f(x)=xnf(x) = x^nf(x)=xn:
∫xn dx=xn+1n+1+C\int x^n \, dx =
\frac{x^{n+1}}{n+1} + C∫xndx=n+1xn+1+C
7.
Probability and Statistics Formulas
o Mean, Median, Mode
o Probability Distributions
o Examples:
§ Mean: μ=∑i=1nxin\mu = \frac{\sum_{i=1}^n x_i}{n}μ=n∑i=1nxi
§ Normal Distribution: f(x∣μ,σ2)=12πσ2e−(x−μ)22σ2f(x | \mu, \sigma^2) = \frac{1}{\sqrt{2 \pi \sigma^2}}
e^{-\frac{(x - \mu)^2}{2\sigma^2}}f(x∣μ,σ2)=2πσ21e−2σ2(x−μ)2
All Mathematical Formulas with Examples
Conclusion
Understanding
mathematical formulas is essential for mastering various branches of
mathematics. By grasping these formulas and practicing with examples, one can
solve complex problems more efficiently. Whether you're studying algebra,
geometry, calculus, or statistics, a solid foundation in mathematical
formulas empowers you to tackle challenges with confidence. Explore each
section to deepen your understanding and enhance your mathematical skills.
FAQ
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