Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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)