1. Find all 6 trig ratios from the given information. 1. 2. sinθ = 8/133. cotθ = 5   9 15

3.  An angle is formed by the rotation of a ray about its endpoint.  The starting position is the initial side and the position after rotation is the terminal side.  A reference angle is the acute angle formed by the terminal side of an angle in standard position (when it’s vertex is at the origin) and the x-axis.

4.  Let (6, 8) be a point on the terminal side of . Find all six trig ratios.

5.  Let (-5, -12) be a point on the terminal side of . Find all six trig ratios.

6.  Find the values of the 6 trig functions of .

7.  Degrees are based on fractional parts of a circular revolution.

8.  Radian measure compares the length of an arc that a central angle cuts off to the radius of the circle.

9.  To convert degrees to radians: 60°-120°  To convert radians to degrees: (7/12)π

10.  Convert degrees to radians and radians to degrees. -45º 210º684º

11. PositiveNegativeWrapping

12. Determine the quadrant in which the angle lies and sketch the angle in standard position. Then state the reference angle. 1) 100 ° 2) -290 ° 3) 520 ° 4) 9π/5 5) -3π/7 6) 10π/3 7) -2

13. Angles in standard position whose terminal sides coincide are called coterminal angles. Determine two coterminal angles (one negative and one positive) for each given angle. 1)140 ○ 2)3π/7

14.  Write down the first 10 multiples of the following: 1. 30: 2. 45: 3. 1/6: 4. 1/4: 5. With a hypotenuse of 1, find the legs. 30 ○ 60 ○ 45 ○

21. Find the point on the unit circle that corresponds to the angle. 1) 120 ○ 2) 225 ○ 3) 330 ○ 4) 5) 6)

22. Find the point on the unit circle that corresponds to the angle. 1) -210 ○ 2) 675 ○ 3) -540 ○ 4) 5) 6)

24. 1. Sin30  2. Cos90  3. Sin135  4. Cos120  5. Sin 180  6. Cos225  7. Sin240  8. Cos270  9. Sin315  10. Cos330 

25. 1. Sin30  2. Cos90  3. Sin135  4. Cos120  5. Sin 180  6. Cos225  7. Sin240  8. Cos270  9. Sin315  10. Cos330 

27. Evaluate each of the following. 1. tan(240 ○ )2. csc(225 ○ ) 3) cot(2π/3) 4) sec(π/4)