@sbutzbach07/math-formulas

A free package of geometric and trigonometric formulas if you need help with any math equation.

GitHub Repository: https://github.com/SButzbach07/math-formulas npm Package: https://www.npmjs.com/package/@sbutzbach07/math-formulas

How to install & use

npm install @sbutzbach07/math-formulas

One installed, in your JavaScript/TypeScript file, do the following:

import * as Func from "@sbutzbach07/math-formulas/func";
import * as Geo from "@sbutzbach07/math-formulas/geo";
import * as Trig from "@sbutzbach07/math-formulas/trig";

This will import each section of the package.

Extra Math functions (Func)

Since the Math class does not include the inverse of sin, cos, and tan that return side lengths, I have provided those for accessibility.

|Function|Equivalent| |:-:|:-:| |acot(x)|Math.atan(1/x)| |acsc(x)|Math.asin(1/x)| |asec(x)|Math.acos(1/x)| |cot(x)|1/Math.tan(x)| |csc(x)|1/Math.sin(x)| |sec(x)|1/Math.cos(x)|

Formulas (Geo & Trig)

|Function|Type|Concept|Output| |:-:|:-:|:-:|-| |a_Cir(radius)|Geometric|Area|The area of a circle| |a_HexA(apothem, perimeter)|Geometric|Area|The area of a hexagon| |a_HexS(side)|Geometric|Area|The area of a hexagon| |a_Rec(length, width)|Geometric|Area|The area of a rectangle| |a_Rho(base, height)|Geometric|Area|The area of a rhombus| |a_Squ(side)|Geometric|Area|The area of a square| |a_Tra(base1, base2, height)|Geometric|Area|The area of a trapezoid| |a_Tri(base, height)|Geometric|Area|The area of a triangle| |c_CirD(diameter)|Geometric|Circumference|The circumference of a circle| |c_CirR(radius)|Geometric|Circumference|The circumference of a circle| |cos_A(radians, hyp)|Trigonometric|Right Triangle|The adjacent side of θ of a right triangle| |cos_H(radians, adj)|Trigonometric|Right Triangle|The hypotenuse of a right triangle| |cot_A(radians, opp)|Trigonometric|Right Triangle|The adjacent side of θ of a right triangle| |cot_O(radians, adj)|Trigonometric|Right Triangle|The opposite side of θ of a right triangle| |csc_H(radians, opp)|Trigonometric|Right Triangle|The hypotenuse of a right triangle| |csc_O(radians, hyp)|Trigonometric|Right Triangle|The opposite side of θ of a right triangle| |la_Con(radius, length)|Geometric|Lateral Area|The lateral area of a cone| |la_Cyl(radius, height)|Geometric|Lateral Area|The lateral area of a cylinder| |la_Pyr(length, perimeter)|Geometric|Lateral Area|The lateral area of a pyramid| |la_Tri(height, perimeter)|Geometric|Lateral Area|The lateral area of a triangular prism| |lCos_A(side1, side2, side3)|Trigonometric|Law of Sine\Cosine|∠C mesaurement| |lCos_S(side1, side2, radians)|Trigonometric|Law of Sine\Cosine|Side C measurement| |lSin_A(radians1, side1, side2)|Trigonometric|Law of Sine\Cosine|∠2 measurement| |lSin_S(radians1, side1, radians2)|Trigonometric|Law of Sine\Cosine|Side 2 measurement| |nCos(adj, hyp)|Trigonometric|Inverse Right Triangle|The angle of θ| |nCot(adj, opp)|Trigonometric|Inverse Right Triangle|The angle of θ| |nCsc(hyp, opp)|Trigonometric|Inverse Right Triangle|The angle of θ| |nSec(hyp, adj)|Trigonometric|Inverse Right Triangle|The angle of θ| |nSin(opp, hyp)|Trigonometric|Inverse Right Triangle|The angle of θ| |nTan(opp, adj)|Trigonometric|Inverse Right Triangle|The angle of θ| |p_Rec(length, width)|Geometric|Perimeter|The perimeter of a rectangle| |p_Squ(side)|Geometric|Perimeter|The perimeter of a square| |pt_AB(c, ab)|Trigonometric|Pythagorean Theorem|Side A or B| |pt_C(a, b)|Trogonometric|Pythagorean Theorem|Side C| |sa_Con(radius, length)|Geometric|Surface Area|The surface area of a cone| |sa_Cyl(radius, height)|Geometric|Surface Area|The surface area of a cylinder| |sa_Pyr(baseArea, length, perimeter)|Geometric|Surface Area|The surface area of a pyramid| |sa_Rec(length, width, height)|Geometric|Surface Area|The surface area of a rectangular prism| |sa_Sph(radius)|Geometric|Surface Area|The surface area of a sphere| |sa_Tri(baseArea, height, perimeter)|Geometric|Surface Area|The surface area of a triangular prism| |sec_A(radians, hyp)|Trigonometric|Right Triangle|The adjacent side of θ of a right triangle| |sec_H(radians, adj)|Trigonometric|Right Triangle|The hypotenuse of a right triangle| |sin_H(radians, opp)|Trigonometric|Right Triangle|The hypotenuse of a right triangle| |sin_O(radians, hyp)|Trigonometric|Right Triangle|The opposite side of θ of a right triangle| |tan_A(radians, opp)|Trigonometric|Right Triangle|The adjacent side of θ of a right triangle| |tan_O(radians, adj)|Trigonometric|Right Triangle|The opposide side of θ of a right triangle| |v_Con(radius, height)|Geometric|Volume|The volume of a cone| |v_Cyl(radius, height)|Geometric|Volume|The volume of a cylinder| |v_Pyr(baseArea, height)|Geometric|Volume|The volume of a pyramid| |v_Rec(length, width, height)|Geometric|Volume|The volume of a rectangular prism| |v_Sph(radius)|Geometric|Volume|The volume of a sphere| |v_Tri(baseArea, height)|Geometric|Volume|The volume of a triangular prism|