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Jeopardy. Radian Measure. Radian Angles. Graphs and Transformations. Reciprocal Graphs. Rates of Change. 6.1. 6.2. 6.3 – 6.4. 6.5 – 6.6. 6.7. Q $100. Q $100. Q $100. Q $100. Q $100. Q $200. Q $200. Q $200. Q $200. Q $200. Q $300. Q $300. Q $300. Q $300. Q $300. Q $400.

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Presentation Transcript
Jeopardy
Jeopardy

Radian Measure

Radian Angles

Graphs and Transformations

Reciprocal Graphs

Rates of Change

6.1

6.2

6.3 – 6.4

6.5 – 6.6

6.7

Q $100

Q $100

Q $100

Q $100

Q $100

Q $200

Q $200

Q $200

Q $200

Q $200

Q $300

Q $300

Q $300

Q $300

Q $300

Q $400

Q $400

Q $400

Q $400

Q $400

Q $500

Q $500

Q $500

Q $500

Q $500

Final Jeopardy


100 question from 6 1
$100 Question from 6.1

Convert the following into radian measure:

75 °



200 question from 6 1
$200 Question from 6.1

Convert the following into degrees:

11π

6



300 question from 6 1
$300 Question from 6.1

Convert the following into radian measure

- 120 °



400 question from 6 1
$400 Question from 6.1

Convert the following into radian measure:

270°



500 question from 6 1
$500 Question from 6.1

Determine the measure of the central angle

that is formed by an Arc length

of 5cm in a circle with a diameter of 5cm.



100 question from 6 2
$100 Question from 6.2

Explain the CAST Rule


100 answer from 6 2
$100 Answer from 6.2

It helps remember where the

Primary trig ratios are positive

in the quadrants.

Quadrant 1 = All positive

Quadrant 2 = Sine positive

Quadrant 3 = Tan positive

Quadrant 4 = Cosine positive


200 question from 6 2
$200 Question from 6.2

Determine the exact value of the trigonometric ratio:

Cos 5π

4



300 question from 6 2
$300 Question from 6.2

A leaning flagpole 7m long makes an obtuse angle with the ground.

If the distance from the tip to the flagpole to the ground is 4m,

determine the radian measure of the obtuse angle

to the nearest hundredth.


300 answer from 6 2
$300 Answer from 6.2

Sin-1 7

4 = 0.61

π -0.61=2.5 radians


400 question from 6 2
$400 Question from 6.2

Determine the exact value of the trigonometric ratio

Sec 5π

3



500 question from 6 2
$500 Question from 6.2

Determine the length of AB and angle of D.

A

8 cm

π

6

B

D

8 cm

C


500 answer from 6 2
$500 Answer from 6.2

AB = 16 cm

Angle D = 45°


100 question from 6 3 6 4
$100 Question from 6.3 – 6.4

List all of the transformations of a parent function,

Including characteristics of the functions i.e period.


100 answer from 6 3 6 4
$100 Answer from 6.3 – 6.4

Transformations of the Parent Function

|a| gives the vertical stretch compression factor.

1/k gives the horizontal stretch/compression factor.

d gives the horizontal translation.

c gives the vertical translation.

Characteristics of the Transformed Function

| a | gives the amplitude.

2 pi/ k gives the period.

d gives the horizontal translation.

y = c gives the equation of the axis.


200 question from 6 3 6 4
$200 Question from 6.3 – 6.4

Determine equation of the graph


200 answer from 6 3 6 4
$200 Answer from 6.3 – 6.4

Y = 5 sin (x + π) + 2

3


300 question from 6 3 6 4
$300 Question from 6.3 – 6.4

Determine the equation of the graph


300 answer from 6 3 6 4
$300 Answer from 6.3 – 6.4

Y = - 3 cos (2 (x +π )) – 1

4


400 question from 6 3 6 4
$400 Question from 6.3 – 6.4

Determine the equation of the following graph

π


400 answer from 6 3 6 4
$400 Answer from 6.3 – 6.4

Y = 3 sin (2x) -1


500 question from 6 3 6 4
$500 Question from 6.3 – 6.4

A pendulum swings back and forth 9 times in 6 seconds. It swings through a horizontal distance of 30m. (hint: max = 15m)

a.) Sketch a graph of this motion for one cycle, beginning to the pendulum at the end of its swing.

b.) Find the equation



100 question from 6 5 6 6
$100 Question from 6.5 – 6.6

Sketch graphs of (with values) :Y= Sin x

Y = Cos x

Y = Tan x



200 question from 6 5 6 6
$200 Question from 6.5 – 6.6

Sketch graph of y = sec x - 1



300 question from 6 5 6 6
$300 Question from 6.5 – 6.6

A person who was listening to a siren reported that the frequency of

the sound fluctuated with time, measured in seconds. The minimum

frequency that the person heard was 500 Hz, and the maximum

frequency was 1000 Hz. The maximum frequency occurred at

T = 0 and T = 15. The person also reported that, in 15, she heard

the maximum frequency 6 times (including the times at T = 0 and

T = 15). What is the equation of the cosine function that describes

the frequency of this siren?


300 answer from 6 5 6 6
$300 Answer from 6.5 – 6.6

Y = 250 cos ( 2 π x) + 750

3


400 question from 6 5 6 6
$400 Question from 6.5 – 6.6

Graph the function y = 2 sec x + 4



500 question from 6 5 6 6
$500 Question from 6.5 – 6.6

Sketch the graph of

y = cot (x)

2


500 answer from 6 5 6 6
$500 Answer from 6.5 – 6.6

-2 π

- π

π

2 π


100 question from 6 7
$100 Question from 6.7

Determine AROC:

y = 2 cos (x –π )

4

2 < x < π



200 question from 6 7
$200 Question from 6.7

For y = - 5 sin ( 1 x) – 9

2

Find the AROC over the interval

π ≤ x ≤ π

4



300 question from 6 7
$300 Question from 6.7

A ship that is docked in a harbour rises and falls with the waves.

The function models the vertical movement of the ship, h in metres,

at t seconds.

Estimate the instantaneous rate of change in the height of the ship at t = 6



400 question from 6 7
$400 Question from 6.7

Determine AROC:

Y = cos (x – π) + 1

3

π3

π2

< X <


400 answer from 6 7
$400 Answer from 6.7

About - 0. 5157




Final jeopardy
Final Jeopardy

A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a

full minute has not passed since 3:00, the hour hand is pointing

directly at the 3 and the minute hand is pointing directly at the 12. If

the tip of the second hand is directly below the tip of the hour hand,

and if the length of the second hand is 9 cm, what is the length of the

hour hand?



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