1. perpendicular lines on the creases.
90º
Fold the plate into 4
quarters and draw two
perpendicular lines on
the creases.
/2
(0,1)
135º
45º
3/4
/4
Label the degrees in
one color, radians in
another color, and the
coordinates in a third
color. 
180º 0º
(-1,0)
(1,0)
5/4
7/4
315º
225º
3. Fold the plate into
eights, draw light dotted
lines on the new creases
and repeat the
procedure in step 2.
(0,-1)
3/2
270º

2. II S (- +) I A (+ +) III T (- -) IV C (+ -) 4. Label the quadrants and
90º
4. Label the quadrants and
include the acronym
A S T C
/2
120º
60º
2/3
/3
(0,1)
135º
45º
3/4
/4
150º
5. Measure halfway from
the origin to the edge
of the arrows. Go to
the rim and find all the
multiples of 30º.
5/6 II
S (- +) I
A (+ +)
/6
30º 
180º
III
T (- -) IV
C (+ -) 0º
(-1,0)
(1,0)
11/6
210º
7/6
330º
5/4
7/4
6. Label the angle measure
in degrees, radians, and
the coordinates.
315º
225º
4/3
5/3
(0,-1)
300º
240º
3/2
270º

3. 7. Turn the plate over, fold back into quarters and cut
out a small notch. Label the
notches in rectangular
and polar coordinates.
(x,y)
(-x,y)
(r,)
sin x
cos x
(r,-)
8. Draw a hexagon, connect
the opposite vertices and
label the six vertices with
the 6 trigonometric
relations
tan x 1
cot x
(-x,-y)
(x,-y)
9. Shade the three triangles
as shown and put a 1 with
a circle in the center.
sec x
csc x
(r,2-)
(r,+)

4. Quotient Identities
sin x
cos x
tan x 1
cot x
sec x
csc x

5. Product Identities
sin x
cos x
tan x 1
cot x
sec x
csc x

6. Pythagorean Identities
sin2x + cos2x = 1
cos x
sin x
tan2x + 1= sec2x
tan x
sec x 1
1+ cot2x = csc2x
cot x
csc x
sin2x + cos2x = 1
cos x
sin x
sin2x + cos2x = 1
cos x
sin x
sin2x + cos2x = 1
cos x
sin x
sin2x + cos2x = 1
cos x
sin x
sin x
cos x
tan2x + 1= sec2x
tan x
sec x 1
tan2x + 1= sec2x
tan x
sec x 1
tan2x + 1= sec2x
tan x
sec x 1
tan2x + 1= sec2x
tan x
sec x 1
tan x
1+ cot2x = csc2x
cot x
csc x 1
1+ cot2x = csc2x
cot x
csc x 1
1+ cot2x = csc2x
cot x
csc x 1
1+ cot2x = csc2x
cot x
csc x 1
cot x 1
sec x
csc x
sec x

7. Reciprocal Identities
(x,y)
(-x,y)
(r,)
sin x
cos x
(r,-)
cot x 1
tan x
(-x,-y)
(x,-y)
sec x
csc x
(r,2-)
(r,+)