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

<p>Midpoint of a line </p>
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