Chapter 6 Test
MHF4U TEST 4
Knowledge
Communication
Application
Thinking
MHF4U TRIGONOMETRY TEST. SHOW ALL WORK. 1. How many degrees is radians? K=1
2. A car tire is spinning at a rate of 8 radians/s, how many rotations does the wheel make in an hour? A=2
3. If the arc subtended by an angle of 1 radian on a circle equals 35 cm, what is the radius of the circle? K=2
4. If the diameter of a monster truck tire is 3.6 m and makes one rotation every 5 seconds, how far does the tire roll in 1 minute? T=2
5. What trigonometric function gives an output of when the input is ? K=1
6. Which of the six trigonometric functions are positive in quadrant III? K=2
7. What is the vertical and horizontal translation for the function C=2
8. If a bicycle wheel makes 7 rotations a second and has a diameter of 75 cm, what cosine function describes the height of a point on the end of the wheel? T=3
9. What is the amplitude of the function ? C=1
10. What adjustment is needed to change the cosine function to the sine function? C=1
11. The height of a swing is modelled by the function . What are the highest and lowest points the ball reaches where h(t) is in cm? T=2
12. If , what is the period? K=2
13. If the moon changes from a full moon to a half moon in 13 days, how many more days does it take for it to get back to a full moon and what would the period, k, equal? T=2
14. What is the average rate of change of the interval for the function ? A=4
15. Find the approximate instantaneous rate of change for the function when a = 3 and h = 0.001. A=4
16. A Ferris wheel has a maximum height of 56 m and a minimum
Knowledge
Communication
Application
Thinking
MHF4U TRIGONOMETRY TEST. SHOW ALL WORK. 1. How many degrees is radians? K=1
2. A car tire is spinning at a rate of 8 radians/s, how many rotations does the wheel make in an hour? A=2
3. If the arc subtended by an angle of 1 radian on a circle equals 35 cm, what is the radius of the circle? K=2
4. If the diameter of a monster truck tire is 3.6 m and makes one rotation every 5 seconds, how far does the tire roll in 1 minute? T=2
5. What trigonometric function gives an output of when the input is ? K=1
6. Which of the six trigonometric functions are positive in quadrant III? K=2
7. What is the vertical and horizontal translation for the function C=2
8. If a bicycle wheel makes 7 rotations a second and has a diameter of 75 cm, what cosine function describes the height of a point on the end of the wheel? T=3
9. What is the amplitude of the function ? C=1
10. What adjustment is needed to change the cosine function to the sine function? C=1
11. The height of a swing is modelled by the function . What are the highest and lowest points the ball reaches where h(t) is in cm? T=2
12. If , what is the period? K=2
13. If the moon changes from a full moon to a half moon in 13 days, how many more days does it take for it to get back to a full moon and what would the period, k, equal? T=2
14. What is the average rate of change of the interval for the function ? A=4
15. Find the approximate instantaneous rate of change for the function when a = 3 and h = 0.001. A=4
16. A Ferris wheel has a maximum height of 56 m and a minimum