TRIGONOMETRY TEST - Weebly



MHF4U TEST 4

|Knowledge |Communication |Application |Thinking |

| [pic] | [pic] | [pic] | [pic] |

[pic]MHF4U TRIGONOMETRY TEST. SHOW ALL WORK.

1. How many degrees is [pic] radians? K=1

2. A car tire is spinning at a rate of 8[pic] 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 [pic] when the input is [pic]? 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 [pic]

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 [pic]? 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 [pic]. What are the highest and lowest points the ball reaches where h(t) is in cm? T=2

12. If [pic], 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 [pic] for the function [pic]?

A=4

15. Find the approximate instantaneous rate of change for the function [pic] when a = 3 and h = 0.001. A=4

16. A Ferris wheel has a maximum height of 56 m and a minimum height of 14 m. It can make one rotation in 45 seconds. If it starts at the height of the Ferris wheel’s axle, write an equation that models the wheel.

A=4

17. A softball pitcher winds up and spins her arm around before releasing the ball. The pitcher’s shoulders are 1.35 m tall and arm is 0.35 m long.The pitcher can spin her arm 10 revolutions every 2 seconds and at t = 0 her arm is it its maximum height. Using a sine function, determine the equation that models this motion.

T=5

TRIGONOMETRY TEST

Answer Section

SHORT ANSWER

1. ANS:

36

Knowledge and Understanding

2. ANS:

14400rotations

Application

3. ANS:

35 cm

Knowledge and Understanding

4. ANS:

43.2 [pic] m

Application

5. ANS:

cos x

Knowledge and Understanding

6. ANS:

tangent and cotangent

Knowledge and Understanding

7. ANS:

Vertical is up 3 and horizontal is [pic] to the right

Knowledge and Understanding

8. ANS:

[pic]

Application

9. ANS:

[pic]

Knowledge and Understanding

10. ANS:

[pic]

Knowledge and Understanding

11. ANS:

39 cm is the lowest and 109 cm is the highest

Knowledge and Understanding

12. ANS:

[pic]

Knowledge and Understanding

13. ANS:

39 days, k = [pic]

Application

14. ANS:

-3.3079

Knowledge and Understanding

15. ANS:

5.994

Knowledge and Understanding

16. ANS:

a=21

c=35

k=[pic]

Thinking

17. ANS:

a = 0.35

c = 1.35

k=10[pic]

d= [pic]1.25

Thinking

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