Stephanie's Reflection

Unit Circle

sin theta = y/r

cos theta = x/r

tan theta = y/x

csc theta = r/x

sec theta = x/y

cot theta = x/y

r=sqrtx^2+y^2

90 pi/2
180 pi
270 3pi/2
360 2pi

sin pos in one and two and neg in three and four

cos pos in one and four and neg in two and three

tan pos in one and three and neg in two and four

cot pos in one and neg in two three and four

sec pos in one and neg in two three and four

csc pos in one and two and neg in three and four

sec = 1/cos

cos = 1/sin

EG: 3^2+3^2=5

sqrt25=h

r=5
y=3
x=4

sin theta=3/5

cos theta=4/5

tan theta=3/4

csc theta=5/3

sec theta=5/4

cot theta=4/3

find the reference angle for sin 210 degrees
sin 210-__-___sin_30___
210-180=30
sin 210=-1/2

find the reference angle for cos 315 degrees
cos 215=__+___cos__45___
cos 315=+/-sqrt2/2
315-180=45

tan 695=__-__tan__25__
tan 695=-466
695-360=335

c=2pir
2pir=1/2 2piR
r=1/2R
cos theta-r/R
=1/2
theta=60