Math Archives - Page 2 of 2

Geometry and Trigonometry Rules

Leave a Comment / Math, Physics / Waleed

Menu (linked Index) Geometry and Trigonometry Rules Last Update: November 8, 2025 Introduction Area and Volume Equations for Basic Shapes Similar Triangles Exterior and Interior Angles of Triangles Law of Cosines and Sines Right Triangle Trigonometric Functions Pythagorean Trigonometric Identities Sum and Difference Angle Formulas Product-to-Sum Formulas Even-Odd Identities (Identities for Negative Angles) Some Useful […]

Geometry and Trigonometry Rules Read More »

Exploring Euler’s Formula

Leave a Comment / Math / Waleed

Exploring Euler’s Formula Exploring Euler’s Formula Last Update: December 18, 2024 Euler’s Identity It all started for me when I came across the formula below. It’s called Euler’s Identity. If you are a mathematician, you are getting pretty excited right now just seeing this equation. Kind of like a sportscaster’s reaction when you talk about

Exploring Euler’s Formula Read More »

Unit Circle

Leave a Comment / Math / Waleed

Menu (linked Index) Unit Circle and Definitions of Radian and π Last Update: October 16, 2025 Introduction Properties of a Circle The Unit Circle and The Radian Conclusion Introduction In this post we’ll review some of the important mathematical formulas and properties derived from the circle. You probably know that the constant pi = π

Unit Circle Read More »

Number Classifications

Leave a Comment / Math / Waleed

Menu (linked Index) Number Classifications Last Update: November 25, 2024 Introduction Number Classification Organization Chart Number Classification Description Number Classification – Venn Chart – High Level Number Classification – Venn Chart – Real Numbers Number Classification – Venn Chart – Full Chart Introduction Understanding the various number types (classifications) is critical to gaining a deeper

Number Classifications Read More »

Euler’s Formula Derivation

Leave a Comment / Math / Waleed

Menu (linked Index) Euler’s Formula Derivation Last Update: December 12, 2024 Introduction The Derivative Derivative Rules Derivatives of Useful Functions Taylor and Maclaurin Power Series Euler Formula Derivation Summary of the Derivation Conclusion Appendix 1 – Graphical meaning of (x-a) Appendix 2 – Full Derivation of Taylor and Maclaurin Power Series Appendix 3 – Unit

Euler’s Formula Derivation Read More »

Euler’s Number

Leave a Comment / Math / Waleed

Menu (linked Index) Euler’s Number Last Update: December 11, 2024 Introduction What is e e History Outline e Definition As A Limit Derivation of the Continuous Compounding Equation e Definition as an Infinite Series Summation Unique Properties of e Conclusion Introduction In this article we’ll describe and define Euler’s constant e, which is a non

Euler’s Number Read More »

Complex Numbers

Leave a Comment / Math / Waleed

Menu (linked Index) Complex Numbers Last Update: November 29, 2024 Introduction Multiplying by -1 The Imaginary Unit i Multiplying by i Complex Numbers and Complex Plane Multiplying by i in the Complex Plane Polar / Trigonometric Form of a Complex Number Polar / Exponential Form of a Complex Number Euler’s Formula is All about Rotation

Complex Numbers Read More »

Complex Number Math

Leave a Comment / Math / Waleed

Menu (linked Index) Complex Number Math Last Update: December 5, 2024 Introduction Complex Number Addition Complex Number Subtraction Complex Number Multiplication Introduction In this post, we’ll see how addition, subtraction , and multiplication of Complex Numbers can be shown geometrically in the Complex Plane. This will help visualize what is going on with these math

Complex Number Math Read More »

Cookie	Duration	Description
cookielawinfo-checkbox-analytics	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Analytics".
cookielawinfo-checkbox-functional	11 months	The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional".
cookielawinfo-checkbox-necessary	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookies is used to store the user consent for the cookies in the category "Necessary".
cookielawinfo-checkbox-others	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other.
cookielawinfo-checkbox-performance	11 months	This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Performance".
viewed_cookie_policy	11 months	The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. It does not store any personal data.