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Fold the plate into 4 quarters and draw two perpendicular lines on

90 º. Fold the plate into 4 quarters and draw two perpendicular lines on the creases. /2. (0,1). 135 º. 45 º. 3/4. /4. Label the degrees in one color, radians in another color, and the coordinates in a third color. . 180 º. 0. 0 º.

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Fold the plate into 4 quarters and draw two perpendicular lines on

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  1. 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 0 0º (-1,0) (1,0) 5/4 7/4 315º 3. Fold the plate into eights, draw light dotted lines on the new creases and repeat the procedure in step 2. 225º (0,-1) 3/2 270º

  2. 90º 4. Label the quadrants and include the acronym A S T C /2 60º 120º 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. /6 5/6 30º I A (+ +) II S (- +)  180º 0 0º III T (- -) IV C (+ -) (-1,0) (1,0) 11/6 7/6 210º 330º 6. Label the angle measure in degrees, radians, and the coordinates. 5/4 7/4 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 cot x 1 (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 cot x 1 sec x csc x

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

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

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

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