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**All Posts (Archives):**

- How to prove that sin(A-B)=sin(A)cos(B)-cos(A)sin(B) geometrically September 29, 2016
- |z_1|/|z_2|=|z_1/z_2| proof (algebraic) November 4, 2018
- Proving that arg(z_1/z_2)=arg(z_1)-arg(z_2) October 28, 2018
- arg(z_1*z_2)=arg(z_1)+arg(z_2) Proof October 15, 2018
- How to prove that |z_1|*|z_2|=|z_1*z_2|, Complex Numbers October 14, 2018
- sin(0°) to sin(90°), cos(0°) to cos(90°) and tan(0°) to tan(90°) derivations. 15° steps. September 23, 2017
- Completing the Square: Two Geometrical Proofs September 20, 2017
- More ways in which to express the golden ratio September 19, 2017
- Another way to express the golden ratio mathematically September 17, 2017
- How to find a neat version of y when you have the equation of an ellipse August 30, 2017
- Useful trigonometric formulas for finding areas of circles August 30, 2017
- If a/b=c/d, then a/b=(a+c)/(b+d) mathematical proof August 5, 2017
- Deriving the formula for an ellipse July 30, 2017
- Finding the formulas for areas of triangles July 29, 2017
- Coded Data Proofs: Mean & Standard Deviation, y=x/k + C July 27, 2017
- Coded Data Proofs: Mean & Standard Deviation, y=kx+C July 27, 2017
- Coded Data Proofs: Mean & Standard Deviation, y=x/k July 27, 2017
- Coded Data Proofs, Mean & Standard Deviation: y=kx July 27, 2017
- Further Pure Maths: Complex Number Proof (1) July 26, 2017
- How to derive the formula for the area of an equilateral triangle February 13, 2017
- Proof: Thales’ Theorem February 13, 2017
- How to prove that the two angles below the apex of an isosceles triangle are equivalent February 12, 2017
- Proof: Opposite angles formed when two lines intersect, are equal to one another February 12, 2017
- How to quickly double the area of a square (simple geometry lesson) February 6, 2017
- How to derive the formula for a circle from scratch January 21, 2017
- Derive the formula to find areas underneath curves October 9, 2016
- Properties of C squared, Pythagorean Theorem September 27, 2016
- 2 ways to derive Pythagoras’ equation from scratch September 27, 2016
- How to add up all the even numbers from 0 onwards quickly September 16, 2016
- How to add up odd numbers from 0 upwards September 16, 2016
- Solving The Student Handshake Problem September 13, 2016
- The quickest Sine Rule proof September 6, 2016
- How to derive Euler’s Identity using the Maclaurin Series August 11, 2016
- Deriving the Taylor Series from scratch August 10, 2016
- Latest Mathematics Proofs: August 2016 August 3, 2016
- Hannah Sweets Maths Problem – Edexcel (June 2015) March 8, 2016
- Multiplying Even and Odd Numbers February 13, 2016
- Binomial Expansions on Python February 11, 2016
- Mathematical Art Work, including Isometric Drawings (Visualising Maths) December 29, 2015
- THE IRRATIONAL NUMBER VALUE INDEX November 2, 2015
- 1.618 as a continued fraction September 17, 2015
- How to find the square root of 2 using simple algebraic rules September 17, 2015
- How To Add Latex Formulas, Equations and Expressions To Your Maths Answers On Brainly.com (For Google Chrome Users Only) August 22, 2015
- How to differentiate y=arccosx August 17, 2015
- How to differentiate y=arcsinx August 17, 2015
- How to differentiate y=arctanx August 17, 2015
- Video Updates: 01.07.2015 July 1, 2015
- Cosine Rule Mastery – PDF Download June 23, 2015
- Maths Videos For Web News… June 19, 2015
- Free A Level Mathematics Proofs May 10, 2015
- Logarithmic Proof (23/03/2015) March 23, 2015
- Experiments With Surds & Exponentials… March 6, 2015
- Surd Problem… March 6, 2015
- New Logarithmic Proof – Quicker Version March 6, 2015
- More Trig Shortcuts March 4, 2015
- Sine Rule Derivation In Record Time… March 4, 2015
- Logarithmic Differentiation As Seen In Video… March 1, 2015
- Derivative – 27/02/15 February 27, 2015
- Anti-Derivative Proof – 27/02/15 February 27, 2015
- Basic Logic Tables February 25, 2015
- More Mathematical Logic February 19, 2015
- Messing Around With Exponentials February 18, 2015
- Measuring the time it takes for the Sun’s light to reach us… February 8, 2015
- Integration Problem – Finding the area of quarter of a circle by integrating… February 5, 2015
- Golden Ratio Proof January 31, 2015
- Change The Denominator Into A Whole Number – Challenge January 20, 2015
- Proving That Two Different Variance Formulas Are Equal To One Another January 20, 2015
- Division Problem Transformed Into Multiplication Problem January 5, 2015
- Implicit Differentiation At Work January 5, 2015
- tan(A+B) and tan(A-B) proofs… January 5, 2015
- Integration Proof (2), 01.01.15 January 1, 2015
- Integration Proof 01.01.15 January 1, 2015
- Integration Proof (1) December 31, 2014
- If y=a^x, dy/dx=a^xlna Proof (2) December 31, 2014
- If y=lnx, dy/dx=1/x, alternative proof December 30, 2014
- Implicit Differentiation Rules December 30, 2014
- If y=ln(f(x)), dy/dx=(f'(x))/f(x) December 30, 2014
- Vector Magnitude Proof December 30, 2014
- Vector Proof – Angle Between Two Vectors December 30, 2014
- If y=cotx, dy/dx=-(cosecx)^2 December 28, 2014
- If y=secx, dy/dx=secxtanx December 28, 2014
- If y=tanx, dy/dx=(secx)^2 December 28, 2014
- Vector Proof (1) December 28, 2014
- Cosine Rule Transformation December 27, 2014
- Sine Rule Derivation December 27, 2014
- Trigonometric Proofs December 27, 2014
- Function Rules December 27, 2014
- Completing The Square (Why It Works) December 27, 2014
- Obtaining The Mean From Two Sets Of Data December 26, 2014
- How To Deal With Fractions December 26, 2014
- Tough Logarithmic Problem… December 25, 2014
- If y=e^(f(x)), dy/dx=f'(x)e^(f(x)) December 25, 2014
- If y=e^x, dy/dx=e^x December 25, 2014
- December 25, 2014
- If y=a^x, dy/dx=a^xlna proof December 25, 2014
- If y=lnx, dy/dx=1/x proof December 25, 2014
- Real Mathematical Proofs & Philosophical Videos December 25, 2014
- Logarithmic Proof (4) December 25, 2014
- Logarithmic Proof (3) December 25, 2014
- Logarithmic Proof (2) December 25, 2014
- Logarithmic Proof (1) December 25, 2014
- How To Expand (a+b+c)(d+e+f)(g+h+i) July 14, 2014
- Even And Odd Functions July 12, 2014
- Mathematical Programming (Manipulation) Tips July 9, 2014
- How To Multiply Surds Contained within Fractions July 9, 2014
- How To Multiply Surds July 9, 2014
- Derivative of y=cotx July 7, 2014
- tan(A-B)=(tanA-tanB)/(1+tanAtanB) July 7, 2014
- How To Derive The Quadratic Formula July 7, 2014
- Quick Way To Derive The Integration By Parts Formula July 7, 2014
- Derivate Of y=cosx Proof July 7, 2014
- sin(A-B)=sinAcosB-cosAsinB July 7, 2014
- tan(A+B)=(tanA+tanB)/(1-tanAtanB) July 7, 2014
- Tricky Edexcel C4 Examination Question Solved (January 2008) Paper June 10, 2014
- Coming Up With The Formula For Areas Underneath Curves June 8, 2014
- Proving The Product Rule June 8, 2014
- Proving The Quotient Rule… June 8, 2014
- Tricky Integration Problem May 28, 2014
- Tricky Logarithm Problem… May 26, 2014
- Differentiation Basics May 23, 2014
- Ordinary Graph Transformations: May 23, 2014
- If f(x)=sinx, f'(x)=cosx Proof May 23, 2014
- (a+b)(a-b)=a^2-b^2 (The Real Proof) (Difference Of Two Squares Demystified) May 19, 2014
- How To Come Up With The Quadratic Formula – From Scratch May 16, 2014
- Simple But Elegant Way To Prove That sin(A+B)=sinAcosB+cosAsinB (Edexcel Proof Simplified) May 16, 2014
- How To Come Up With Pythagoras’ Equation May 16, 2014
- Trapezium Rule Formula – Derivation May 16, 2014
- FREE MATHS VIDEOS – FOR A LEVEL & GCSE STUDENTS May 10, 2014
- Areas Of Triangles & The Sine Rule May 10, 2014
- ArcSin, ArcCos & ArcTan May 10, 2014
- Find The Formula For The Volume Of Cones May 10, 2014