Transformations Flashcards
1
Q
every linear transformation can be represented by…
A
a 2 x 2 square matrix
2
Q
general form for the matrix of a rotation about the angle θ anticlockwise
A
cosθ -sinθ
sinθ cosθ
3
Q
general form for the matrix of a reflection in the line y = (tanθ)x
A
cos2θ sin2θ
sin2θ -cos2θ
4
Q
trig ratios for 0 degrees
A
sinθ = 0 cosθ = 1 tanθ = 0
5
Q
trig ratios for 30 degrees
A
sinθ = 1/2 cosθ = root3/2 tanθ = 1/root3
6
Q
trig ratios for 45 degrees
A
sinθ = 1/root2 cosθ = 1/root2 tanθ = 1
7
Q
trig ratios for 60 degrees
A
sinθ = root3/2 cosθ = 1/2 tanθ = root3
8
Q
trig ratios for 90 degrees
A
sinθ = 1 cosθ = 0 tanθ = undefined
