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Mathematics Dictionary
Dr. K. G. Shih


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Questions



  • Keyword | Half angle
    • sin(A) = 2*Sqr(s*(s-a)*(s-b)*(s-c))/(b*c)
    • sin(A/2) in terms of s
  • Keyword | Heron formula
    • Tiangle area = Sqr(s*(s-a)*(s-b)*(s-c))
  • Keyword | Hexadecial number system
  • Keyword | Hyperbola : Formula and examples
  • Keyword | Hyperbola : Locus
    • 1. Two fixed points F and G. If PF - PG = 8, Find locus of P
    • 2. Prove locus of hyperbola is (x/a)^2 - (y/b)2 = 1
  • Keyword | Hyperbola : (x/a)^2 - (y/b)^2 = -1
    • 1. Comparison : (x/a)^2 - (y/b)^2 = -1 and (x/a)^2 - (y/b)^2 = 1
    • 2. Prove that x = sec(t) and y = tan(t) is a hyperbola
  • Keyword | Hyperbola : R = (D*e)/(1 - e*cos(A))
    • 1. Convert (x/4)^2 - (y/3)^2 = 1 to polar form
    • 2. Convert R = 2.25/(1 - 1.25*cos(A)) to rectangular form
  • Keyword | Hyperbola : R = (D*e)/(1 + e*cos(A))
    • 1. Compare R = (D*e)/(1 - e*cos(A)) and R = (D*e)/(1 + e*cos(A))
    • 2. Study hyperbola x*y = 1
  • Keyword | Hyperbola : x*y = 1
    • 1. Compare x*y = 1 and (x/a)^2 - (y/b)^2 = 1
    • 2. Find focal length and equation of directrix of hyperbola x*y = 1
  • Keyword | Hyperbola : Sketch tangent using reflection
  • Keyword | Hyperbolic functions : Formula and examples
  • Keyword | Hyperbolic functions : Compare with trigonometric function
  • Keyword | Hyper geometric probablity : formula and examples

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