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Equation for a circle with center (a,b) and radius r
(x-a)2 + (y-b)2 = r2
tanθ
sinθ / cosθ
sin2 θ + cos2 θ
1
Identity Matrix
1 0
0 1
Reflection in x-axis
1 0
0 -1
Reflection in y-axis
-1 0
0 1
Reflection in y=x
0 1
1 0
Rotation 90 clockwise
0 1
-1 0
Rotation 90 anticlockwise
0 -1
1 0
Rotation 180
-1 0
0 -1
Rotation 270 clockwise
0 -1
1 0
Rotation 270 anti-clockwise
0 1
-1 0
dy / dx = 0
stationary
dy / dx > 0
increasing
dy / dx < 0
decreasing
d2y / dx2 > 0
gradient is increasing
d2y / dx2 < 0
gradient is decreasing
d2y / dx2 <0
maximum
d2y / dx2 > 0
minimum
sin90
1
sin60
√3 / 2
sin30
1/2
sin45
√2 / 2
cos90
0
cos45
√2 /2
cos30
√3 / 2
cos60
1/ 2
tan30
√3 /3
tan60
√3
tan45
1