Download 1 - TonyReiter

90º
/2
135º
3/4
(0,1)

2 2, 2 /2


180º 
(-1,0)
5/4
225º
45º
/4
2 2, 2 /2
1. Fold the plate into 4
quarters and draw two
perpendicular lines on
the creases.

0 0º
(1,0)

2 2,- 2 /2


(0,-1)
3/2
270º
2 2,- 2 /2
7/4
315º

2. Label the degrees in
one color, radians in
another color, and the
coordinates in a third
color.
3. Fold the plate into
eights, draw light dotted
lines on the new creases
and repeat the
procedure in step 2.
90º
/2
120º
2/3
135º
3/4
150º
5/6

2 2, 2 /2



2 2,- 2 /2
- 1 2,-
5/4
225º
I

(- +)
3 2,-1/2
4/3
240º

3 /2

45º
 1 2, 3 /2
/4
 2 2, 2/2
A
III IV
T (- -)
C
S

3 /2
II

3 2,1/2
180º 
(-1,0)
210º 7/6
(0,1)
- 1 2,

60º
/3
4. Label the quadrants and
include the acronym
ASTC

1 2,-
3 /2

3 2,1/2
(+ +)
0 0º
(1,0)
(+ -)
11/6
 3 2,-1/2 330º
2 2,- 2 /2
(0,-1)
3/2
270º
/6 30º

5. Measure halfway from
the origin to the edge
of the arrows. Go to
the rim and find all the
multiples of 30º.

7/4
5/3 315º
300º
6. Label the angle measure
in degrees, radians, and
the coordinates.
(x,y)
(-x,y)
(r,-)
sin x
tan x
(-x,-y)
cos x
cot x
1
sec x
(r,+)
(r,)
csc x
(r,2-)
(x,-y)
7. Turn the plate over, fold
back into quarters and cut
out a small notch. Label the
notches in rectangular
and polar coordinates.
8. Draw a hexagon, connect
the opposite vertices and
label the six vertices with
the 6 trigonometric
relations
9. Shade the three triangles
as shown and put a 1 with
a circle in the center.
Quotient Identities
tan x 
sin x
tan x
cos x
cot x
1
sec x
csc x
sin x
cos x
cot x 
csc x
sec x
cos x
sin x 
cot x
sec x
csc x 
tan x
cot x
cos x 
csc x
tan x
sec x 
sin x
Product Identities
sin x
sin x  tan x  cos x
cos x
cos x  sin x  cot x
cot x  cos x  sec x
tan x
cot x
1
csc x  cot x  sec x
sec x  csc x  tan x
tan x  sin x  sec x
sec x
csc x
Pythagorean Identities
sin2x + cos2x = 1
sin x
tan x
tan2x + 1= sec2x
cos x
11
1+ cot2x = csc2x
sec x
sec x
csc x
cot x
Reciprocal Identities
(x,y)
(-x,y)
(r,-)
sin x
cos x
(r,)
1
sin x 
csc x
1
cos x 
sec x
cot x
(-x,-y)
tan x
1
sec x
(r,+)
1
tan x 
cot x
csc x
(r,2-)
(x,-y)