Have you ever thought what are the most commonly used Mathematics Formulae? Yes, many of you have. Let me convert your imagination into reality. Here are some of the most commonly used mathematics formulas:
3. Distance Formula:
$$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$ where $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinate of two points in a plane.
4. Area of a Circle:
$$A=\pi{r^2}$$ where r is the radius of the circle.
5. Volume of a Sphere:
$$V=\frac{4}{3}\pi{r^3}$$ where r is the radius of the sphere.
6. Volume of a Cylinder:
$$V=\pi{r^2}h$$ where r is the radius and h is the height of the cylinder.
7. Area of a Triangle:
$$A=\frac{1}{2}bh$$ where b is the base of the triangle and h is the height.
8. Slope-intercept formula:
$$y=mx+c$$ where m is the slope of a line and c is the y-intercept (the point in which the line crosses the y-axis).
9. Sine Rule:
$$\frac{a}{sin(A)}=\frac{b}{sin(b)}=\frac{c}{sin(C)}$$ where a, b, and c are the lengths of a triangle, and A, B, and C are the opposite angles.
10. Cosine Rule:
$$c^2=a^2+b^2-2abcos(C)$$ where a, b, and c are the length of the sides of a triangle, and C is the angle opposite side c.
11. Sum of Arithmetic Sequence:
$$S_{n}=\frac{n}{2}(2a+(n-1)d)$$ where $S_n$ is the sum of the first n terms of an arithmetic sequence, a is the first term, and d is the common difference.
12. Sum of Geometric Sequence:
$$S_{n}=\frac{a(r^n-1)}{r-1}$$ where $S_n$ is the sum of the first n terms of a geometric sequence, a is the first term, and r is the common ratio.
1. Quadratic Formula:
$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$ where a, b, and c are coefficients of quadratic equation.
$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$ where a, b, and c are coefficients of quadratic equation.2. Pythagoras Theorem: 
$$a^2+b^2=c^2$$ where a, b, and c are the length of the sides of a right-angle triangle.
$$a^2+b^2=c^2$$ where a, b, and c are the length of the sides of a right-angle triangle.
3. Distance Formula:
$$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$ where $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinate of two points in a plane.
4. Area of a Circle:
$$A=\pi{r^2}$$ where r is the radius of the circle.
5. Volume of a Sphere:
$$V=\frac{4}{3}\pi{r^3}$$ where r is the radius of the sphere.
6. Volume of a Cylinder:
$$V=\pi{r^2}h$$ where r is the radius and h is the height of the cylinder.
7. Area of a Triangle:
$$A=\frac{1}{2}bh$$ where b is the base of the triangle and h is the height.
8. Slope-intercept formula:
$$y=mx+c$$ where m is the slope of a line and c is the y-intercept (the point in which the line crosses the y-axis).
9. Sine Rule:
$$\frac{a}{sin(A)}=\frac{b}{sin(b)}=\frac{c}{sin(C)}$$ where a, b, and c are the lengths of a triangle, and A, B, and C are the opposite angles.
10. Cosine Rule:
$$c^2=a^2+b^2-2abcos(C)$$ where a, b, and c are the length of the sides of a triangle, and C is the angle opposite side c.
11. Sum of Arithmetic Sequence:
$$S_{n}=\frac{n}{2}(2a+(n-1)d)$$ where $S_n$ is the sum of the first n terms of an arithmetic sequence, a is the first term, and d is the common difference.
12. Sum of Geometric Sequence:
$$S_{n}=\frac{a(r^n-1)}{r-1}$$ where $S_n$ is the sum of the first n terms of a geometric sequence, a is the first term, and r is the common ratio.
These are just a few of the many formulas that are commonly used. You can find many formula on the topic you want. The topic can be of Algebra, Geometry, Vector, Calculus, Statistics, Trigonometry, Mensuration, Probability, Analytical Geometry, and so on.
Tags:
Formulae
Damn never realised how popular is the quadratic formula despite being very hard to remember. Great blog!
Thanks ❤️
Wow !