Maths formulas

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15 Terms

1
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y-y1=m(x-x1)
equation of a line with one coordinate and gradient
2
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y=mx+c
equation of a line format
3
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ax+by+c=0
equation if a line where A and B are integers
4
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(x1+x2/2),(y1+y2/2)
Midpoint of a line
Midpoint of a line
5
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√(x1-x2)^2+(y1-y2)^2
length of a line AB
6
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negative reciprocal gradient
perpendicular lines
7
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(x-a)^2 + (y-b)^2 = r^2
equation of a circle with centre (a,b)
8
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(f(x+h)-f(x)/h)
differentiation from first principles
9
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0.5r^2θ
area of a sector
10
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a/sinA = b/sinB = c/sinC
sine rule
11
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a^2 = b^2 + c^2 - 2bccosA
cosine rule for side
12
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cosA= b^2 + c^2 - a^2 /2bc
cosine rule for angles
13
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dy/dx = 0
stationary point
14
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f’’(x) > 0
minimum point
15
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f’’(x) < 0
maximum point