Transformations Flashcards Preview

Further maths A LEVEL > Transformations > Flashcards

Flashcards in Transformations Deck (8):
1

every linear transformation can be represented by...

a 2 x 2 square matrix

2

general form for the matrix of a rotation about the angle θ anticlockwise

cosθ -sinθ
sinθ cosθ

3

general form for the matrix of a reflection in the line y = (tanθ)x

cos2θ sin2θ
sin2θ -cos2θ

4

trig ratios for 0 degrees

sinθ = 0
cosθ = 1
tanθ = 0

5

trig ratios for 30 degrees

sinθ = 1/2
cosθ = root3/2
tanθ = 1/root3

6

trig ratios for 45 degrees

sinθ = 1/root2
cosθ = 1/root2
tanθ = 1

7

trig ratios for 60 degrees

sinθ = root3/2
cosθ = 1/2
tanθ = root3

8

trig ratios for 90 degrees

sinθ = 1
cosθ = 0
tanθ = undefined