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Radians Ratios Primary Reciprocal Scenarios 100 100 100 100 100 200

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Presentation on theme: "Radians Ratios Primary Reciprocal Scenarios 100 100 100 100 100 200"— Presentation transcript:

1 Radians Ratios Primary Reciprocal Scenarios 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

2 Determine the exact radian measure for 210o

3

4 In which quadrant is 1.7 radians?

5 II

6 Determine a radian measure for -71o to two decimal places

7 -1.24

8 A windmill turns 15 times in a minute
A windmill turns 15 times in a minute. Determine the angular velocity in radians/second

9

10 Find the missing measurement

11 2.9 cm

12 Sketch the angle in standard position and determine the exact value of the trig ratio:

13

14 If cos0=fra determine tan0

15 OR

16 Find the angle whose terminal arm goes through the point (2, -4)

17 5.18 radians

18 State an equivalent expression in terms of the related acute angle

19

20 Find the exact radian measure of the angle whose terminal arm goes through (-17, -17)

21

22 Describe the transformations on the parent function to create the function

23 Vertical stretch by a factor of 2 Compression by a factor of (period is ) Phase shift right units Vertical shift up 7 units

24 Write the equation of the tan function described: Vert. Reflection Vert. Stretch by a factor of 5 Period of 5 units Phase Shift left 7 units Vertical Shift down 3 units

25

26 State the Domain, Range, Period, and Equation of the Axis for the function

27

28 Find the equation of the following graph in terms of cosine:

29

30 Write the domain and range of the function f(x) = tan x

31

32 Describe the transformations on the parent function to create the function

33 Reflection across the x-axis Compression by a factor of Phase shift right units Vertical shift up 4 units

34 Write the equation of the csc function described: Vert
Write the equation of the csc function described: Vert. Stretch by a factor of 4 Period of 15 units Phase Shift left 9 units Vertical Shift down 2 units

35

36 State the Domain, Range, Period, and Equation of the Axis for the function

37

38 Find the equation of the following graph in terms of csc:

39

40 What is the only reciprocal trig function that can be written as a primary function transformed using our regular transformations?

41

42 Write the equation matching the following description: -Max temperature is 30oC -Min temperature is -10oC -Cycle repeats every 12 months -Start measurements at the average temperature after summer (temperature is dropping)

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44 A pendulum swings 15cm on either side from its starting place
A pendulum swings 15cm on either side from its starting place. It takes 8 seconds to complete 12 cycles. Write an equation to represent this scenario.

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46 A Ferris wheel has a diameter of 25m
A Ferris wheel has a diameter of 25m. The lowest point is 3m above the ground, but riders get on at 6m above the ground. It takes 4 minutes to return to the starting position. Find an equation to represent a rider’s height in metres after a certain amount of time in minutes.

47

48 Create a scenario to go along with this graph:

49 Many different answers including: monthly patterns (every 4 weeks) spinning keys around, one cycle/4 seconds driving in a circular track- one lap takes 4 minutes etc.

50 I hope you pick this one last… (but you picked the highest value ones first last time, so you probably won’t)

51 GOOD LUCK 


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