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Mathematics Dictionary
Dr. K. G. Shih


Question and Answer
Questions



  • Keyword | Tangent function patterns : R = a + b*tan(p*A/q)^M
  • Keyword | Tan(45) : Prove that tan(45) = 1
  • Keyword | Taylor's method to find series
    • 1. Find series of e^x
    • 2. Find series of sin(x)
    • 3. Find series of cos(x)
    • 4. Find series of sinh(x)
    • 5. Find series of cosh(x)

  • Keyword | Tetrahedral number sequences in Pascal triangle
  • Keyword | Triangles in triangles patterns
    • Sketch a triangles in triangles patterns with 10 erect triangle
  • Keyword | Transformation matrx
  • Keyword | Triangular number sequence
    • Example : Prove that Sum[n*(n+1)/2]=n*(n+1)*(n+2)/6
    • Example : Prove that Sum[C(n+1,2)] = C(n+2,3)
  • Keyword | Triangular number sequences in Pascal triangle
  • Keyword | Trigonometrical Equation
    • Example : Solve 1 - cos(x) = Sqe(3)*sin(x)
  • Keyword | Trigonometrical Identities
    • Example : In triangle ABC tan(A) + tan(B) + tan(C) = tan(A)*tan(B)*tan(C)
  • Keyword | Trigonometrical Series
    • Example : sin(x) = x - (x^3)/3! + (x^5)/5! - ....
  • Keyword | Trigonometry Diagrams
  • Keyword | Trigonometry Index
  • Keyword | Trigonometry Subjects

  • Keyword | Twin patterns : R = sin(p*A/2) and R = cos(p*A/2)
    • 1. Prove that graph of R = sin(p*A/2) has 2*p petals if p is odd
    • 2. Prove that graph of R = cos(p*A/2) has 2*p petals if p is odd
    • 3. Twin patterns of R = sin(p*A/2) and R = cos(p*A/2) if p is odd


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    Copyright © Dr. K. G. Shih, Nova Scotia, Canada.

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