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  1. Prove interesting trigonometric identities

    Prove interesting trigonometric identities

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  2. sin 15 and sin 18 and cos 36: Pure geometric way

    sin 15 and sin 18 and cos 36: Pure geometric way

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  3. Factorize a^3 + b^3 + c^3 - 3abc

    Factorize a^3 + b^3 + c^3 - 3abc

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  4. In triangle, tanA+tanB+tanC=tanA*tanB*tanC

    In triangle, tanA+tanB+tanC=tanA*tanB*tanC

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  6. Integral of sec(x) and Integral of 1/sec(x)

    Integral of sec(x) and Integral of 1/sec(x)

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  7. Joukowski Transformation in complex analysis

    Joukowski Transformation in complex analysis

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  8. Prove Fermat last theorem n=4

    Prove Fermat last theorem n=4

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  10. integral of t^{z-1}/(e^z-1) from 0 to infinity

    integral of t^{z-1}/(e^z-1) from 0 to infinity

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  12. index 2 subgroup must be a normal subgroup

    index 2 subgroup must be a normal subgroup

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  13. 黎曼猜想 What is Riemann hypothesis (14): Higher L function

    黎曼猜想 What is Riemann hypothesis (14): Higher L function

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  15. Integral of 1/sqrt{x^2+1}, Integral of 1/sqrt{x^2-1}, Integral of 1/sqrt{1-x^2}

    Integral of 1/sqrt{x^2+1}, Integral of 1/sqrt{x^2-1}, Integral of 1/sqrt{1-x^2}

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  16. Nested radical1: Nested radical of Ramanujan

    Nested radical1: Nested radical of Ramanujan

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  17. Complex contour integral: e^{-x}cos(x)/sqrt(x), e^{-x}sin(x)/sqrt(x) from 0 to infinity

    Complex contour integral: e^{-x}cos(x)/sqrt(x), e^{-x}sin(x)/sqrt(x) from 0 to infinity

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  18. Can you prove this: square root of 2 of 2= square root of 2 to the power square root of 2

    Can you prove this: square root of 2 of 2= square root of 2 to the power square root of 2

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  19. Find eigenvalues of matrix with all same element

    Find eigenvalues of matrix with all same element

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  20. Cardano’s formula: Cubic equation

    Cardano’s formula: Cubic equation

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  21. Trigonometry: Product of sin(kpi/n) from k=1 to n-1

    Trigonometry: Product of sin(kpi/n) from k=1 to n-1

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  22. sin(x+y)sin(x-y)=(sinx+siny)(sinx-siny)

    sin(x+y)sin(x-y)=(sinx+siny)(sinx-siny)

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  23. Mathematical induction divide exercise

    Mathematical induction divide exercise

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  24. Complex analysis Integral of cos(ax)/coshx from 0 to infinity

    Complex analysis Integral of cos(ax)/coshx from 0 to infinity

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