| Right Triangle Trigonometry | ||
| #1 | State the ratios of a 30-60-90 degree triangle. | 1-sqr root 3 - 2 |
| #2 | State the ratios of a 45 - 45-90 degree triangle. | 1 - 1 - sqr root 2 |
| #3 | What is the reference angle for 400 degrees? | 40 degrees |
| #4 | What is the reference angle for 13pi/6? | pi/6 |
| #5 | Evaluate tan 11pi/4 | -1 |
| Radian Measures | ||
| #1 | Change 225 degrees to radians. | 5pi/4 |
| #2 | Change -15 degrees to radians. | - pi/12 |
| #3 | Change pi/9 to degrees | 20 degrees |
| #4 | Change 7pi/6 to degrees | 210 degrees |
| #5 | Change 16pi/3 | 960 degrees |
| Inverse Trigonometry | ||
| #1 | Evaluate tan^-1 ((sqr root 3)/3) in degrees and radians | pi/6 and 30 degrees |
| #2 | Evaluate tan^-1 (-1) in degrees and radians | - pi/4 and - 45 degrees |
| #3 | sin ^-1 (-1) in radians | - pi/2 |
| #4 | cos ^-1 (1/2) in radians | pi/3 |
| #5 | cos ^-1 (2) in radians | undefined |
| Law of Sines/Cosines | ||
| #1 | Find area: A = 105, C = 48, b = 12 | approx. 114 square units |
| #2 | Solve: A = 45, B = 60, c = 44 | C = 75, a = 32, b = 39 |
| #3 | Find area: B = 25, a = 35, c = 37 | approx. 280 square units |
| #4 | Solve: B = 30, a = 80, c = 70 | b = 40, A = 89, C = 61 |
| #5 | Find area: a = 4, b = 24, c = 26 | approx. 43 square units |
| Parametric Equations | ||
| #1 | Graph: x = 3t + 1, y = 3t + 6, from t = 0 to t = 5 | positive from (1,6) to ((16,21) |
| #2 | Write an xy equation: x = 5t, y = t + 7 | y = (1/5)x + 7 |
| #3 | State the domain: x = 5t, y = t + 7 from t = 0 to t = 20 | domain: [0,100] |
| #4 | Write EQ: Throw ball from ht. 6ft @ 50 degree angle, initial speed 25 ft/sec. | x = 16t, y = -16t^2 + 19t + 6 |
| #5 | How far does the ball travel? x = 16ft, y = -16t^2 + 19t + 6 | between 16ft and 22ft |
| Final Question | |
| Find angle generated by the minute hand from 8AM-3PM in radians. | 14pi |