Maths revision
- Created by: Katy Newman
- Created on: 06-06-13 11:56
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Clues
- Circle centre (0,0) radius 1, cartesian - x^2+y^2=r^2. If centre (a,b) x=rcos[angle]+a y=rsin[angle]+b and cartesian - r^2=(x-a)^2+(y-b)^2. Ellipses cartesian - x^2/a^2+y^2/b^2=1 (7, 3, 8)
- cos[angle] = a1b1+a2b2+a3b3/|a|.|b|, a.b = a1b1+a2b2+a3b3 = |a|.|b| x cos[angle] (3, 7)
- If it is an improper fraction, use the Remainder Thereom to find the number that is divisible, and then use the partial fractions method. If it has x(x^2 -1) partial fractions becomes A/x + Bx+c/x^2 -1 (7, 9)
- Make t the subject and put into an equation, make the cartesian according to y. If substitution doesn't work, for instance x=t^2+1/t and y=t^2-1/t, add them together (9, 9)
- Parallel lines = multiples, Intersect = value for h* and u* are the same. If does neither = Skew lines (12, 5)
- sin(2A) = 2sinAcosA, cos(2A) = cos^2A-sin^2A (6, 5, 8)
- tan(A+B) = tanA+tanB/1-tanAtanB, tan(A-B) = tanA-tanB/1+tanAtanB, tan(2A) = 2tanA/1-tan^2A (7, 8)
- to coverge |ax| (8, 7)
- Translate - a add a to function for x, b add b to the function for y. Stretch (xd) multiply x function by d, Stretch (yd) multiply y function by d. Reflection (xd) multiply y function by -1, Reflection (yd) multiply x function by -1 (10, 9)
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