Symmetry

Question 1

Quad 1

Answer 1

P(€) = (cos(€), sin(€))

= (a,b)

Question 2

Quad 2

P=Pi for quads 2-4

Answer 2

sin(p - €) = b = sin€
cos(p - €) = -a = -cos€
tan(p - €) = b/-a = -tan€

Question 3

Quad 3

Answer 3

sin(p + €) = -b = -sin€
cos(p + €) = -a = -cos€
tan(p + €) = -b/-a = tan€

Question 4

Quad 4

Answer 4

sin(2p - €) = -b = -sin€
cos(2p - €) = a = cos€
tan(2p - €) = -b/a = -tan€

Question 5

Negatives of angles

Answer 5

sin is an odd function, i.e. sin(−θ) = − sin θ

cos is an even function I.e cos(-€) = cos(€)

tan is an odd function, i.e. tan(−θ) = − tan θ

Question 6

Memorise exact value chart

Answer 6

Just ordered horizon zero dawn, came out a few months ago and preordered uncharted lost legacy

Question 7

Rules for complimentary angles

Answer 7

Quad 2 num=denom-1

Quad 3 num=denom+1

Quad 4 num=denom*2-1

Question 8

Rules for y=asin(nt) or cos

Answer 8

Period: 2pi/n
Amplitude: a
Max domain: R
Range: [-a,a]

Question 9

If sin(nx) = kcos(nx) then?

Answer 9

tan(nx)=k