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Mathematics,
               computing
              assignment
                     help


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Basic knowledge
 Natural   numbers: numbers starting from
    1 are natural numbers. 1,2,3,4,
    ………………
   Whole numbers: numbers starting from
    0 are whole numbers. 0,1,2,3,4,
    …………………….
   Integers: whole numbers + negative
    numbers are integers.
    …………..,-2,-1,0,1,2,……………
   Rational numbers: numbers that can be
    expressed in the form of p/q where q≠0


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Sets

    Sets is a well defined collection of
     objects.
    SUBSETS: a Set A is said to be subset of
     a set B if every element of A is also an
     element of B.

              A
             B                    A=B


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OPERATIONS ON SETS

    UNION: The union of A and B is
     the set which consist of all the
     elements of A and B



            AUB



          -A
     A u B= A +B

 intersection B
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   INTERSECTION: It is the set of all the
     elements which are common to both A
     and B




          NO
          INTERSECTION




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TRIGONOMETRIC
FUNCTIONS




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Sin function




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Cos function




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Tan function




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Cot function




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Cosec function




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Sec function




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Basic and Pythagorean Identities




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identities
 1.sin2(t) + cos2(t) = 1  
  2.   tan2(t) + 1 = sec2(t)      
  3. 1 + cot2(t) = csc2(t)


 1. sin(–t) = –sin(t)  
  2.cos(–t) = cos(t)     
  3.tan(–t) = –tan(t)

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Angle-Sum and -Difference
Identities

sin(α + β) = sin(α)cos(β) + cos(α)sin(β)
sin(α – β) = sin(α)cos(β) – cos(α)sin(β)
cos(α + β) = cos(α)cos(β) – sin(α)sin(β)
cos(α – β) = cos(α)cos(β) + sin(α)sin(β)




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Double-Angle Identities


                  sin(2x) = 2sin(x)cos(x)
 cos(2x) = cos2(x) – sin2(x) = 1 – 2sin2(x) = 2cos2(x) – 1




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Sum Identities




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Product Identities




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Geometry

    circle: it is set of all points that are
     equidistant from a fixed point in the
     plane.

                       centre




                        equation:
                    (x-j)2 + (y-k)2 =
                    r2

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   Parabola: a parabola is the set of all
      points in a plane that are equidistant
      from a fixed line and a fixed point in the
      plane.




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ellipse
 It is the set al all the points in a plane, the
 sum of whose distance from two fixed points
 in the plane is constant.




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