Further Math Stuff

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30 Terms

1
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Equation for a circle with center (a,b) and radius r

(x-a)2 + (y-b)2 = r2

2
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tanθ

sinθ / cosθ

3
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sin2 θ + cos2 θ

1

4
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Identity Matrix

1 0

0 1

5
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Reflection in x-axis

1 0

0 -1

6
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Reflection in y-axis

-1 0

0 1

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Reflection in y=x

0 1

1 0

8
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Rotation 90 clockwise

0 1

-1 0

9
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Rotation 90 anticlockwise

0 -1

1 0

10
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Rotation 180

-1 0

0 -1

11
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Rotation 270 clockwise

0 -1

1 0

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Rotation 270 anti-clockwise

0 1

-1 0

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dy / dx = 0

stationary

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dy / dx > 0

increasing

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dy / dx < 0

decreasing

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d2y / dx2 > 0

gradient is increasing

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d2y / dx2 < 0

gradient is decreasing

18
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d2y / dx2 <0

maximum

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d2y / dx2 > 0

minimum

20
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sin90

1

21
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sin60

√3 / 2

22
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sin30

1/2

23
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sin45

√2 / 2

24
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cos90

0

25
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cos45

√2 /2

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cos30

√3 / 2

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cos60

1/ 2

28
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tan30

√3 /3

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tan60

√3

30
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tan45

1