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200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Sine & Cosine Tangent & Cotangent Secant & Cosecant.

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Presentation on theme: "200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Sine & Cosine Tangent & Cotangent Secant & Cosecant."— Presentation transcript:

1 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Sine & Cosine Tangent & Cotangent Secant & Cosecant Writing Trig Equations Misc. Review

2 Sine & Cosine 100 Describe the graphs of Sine and Cosine functions

3 Sine and Cosine 100 Sine: Hills and Valley Cosine: Up side Down Hair-do

4 Sine and Cosine 200 Find the amplitude, period, phase shift, vertical shift, start and end of this function:

5 Sine and Cosine 200 Amp = 5, period = π, phase shift =, start = end =, vertical shift =

6 Sine and Cosine300 Graph:

7 Sine and Cosine 300 Amp =, period = 72º, phase shift = -16º, start = 16º, end = 88º, vertical shift = 0

8 Sine and Cosine 400 Graph:

9 Sine and Cosine 400 Amp = 4(Reflected), period = 6π, phase shift = 3π start = -3π, end = 3π, vertical shift = -2

10 Sine and Cosine 500 Graph: y = cos x, for interval

11 Sine and Cosine500 X intercepts: and Max: 0 Min: -π, π

12 Tangent and Cotangent 100 Describe where asymptotes occur for tan and cot graphs.

13 Tangent and Cotangent 100 Tan: Cot: 1 st : Start- Period 1 st : Start 2 nd : 1 st +period 3 rd : 2 nd +period

14 Tangent and Cotangent 200 List the amplitude, Period, Phase shift, Vertical shift and asymptotes for

15 Tangent and Cotangent 200 Amp = 2(Reflected), period = 36º, phase shift = 12º, vertical shift = 0 Asym.1= -12º, Asym.2= 24º, Asym.3=60º

16 Tangent and Cotangent 300 Graph:

17 Tangent and Cotangent 300 Amp = 3, period = 360º, phase shift = 240º, vertical shift = -4 Start= -240º, Asym.1= -420º, Asym.2= -60º, Asym.3=300º

18 Tangent and Cotangent 400 Graph:

19 Tangent and Cotangent 400 Amp = 1, period =, phase shift =, vertical shift = 5 Start=, Asym.1=, Asym.2=, Asym.3=

20 Tangent and Cotangent 500 Graph: For interval

21 Tangent and Cotangent 500 X intercepts: π, 2π Asymptotes:

22 Secant and Cosecant 100 Describes where the asymptotes occur for Secant and Cosecant graphs

23 Secant and Cosecant 100 Sec: Csc: 1 st : Start- 1 st : Start 2 nd : 1 st + 3 rd : 2 nd +

24 Secant and Cosecant 200 List the amplitude, Period, Phase Shift, Start, Vertical Shift, and asymptotes for

25 Secant and Cosecant 200 Amp = 1, period =, phase shift =, vertical shift = -8 Start=, Asym.1=, Asym.2=, Asym.3=

26 Secant and Cosecant 300 Graph:

27 Secant and Cosecant 300 Amp =, period = 180º, phase shift = -45º, vertical shift = -3 Start= 45º, Asym.1= 0, Asym.2= 90º, Asym.3= 180º

28 Secant and Cosecant 400 Graph:

29 Secant and Cosecant 400 Amp = 5(reflected), period = 12π, phase shift =, vertical shift = 1 Start= -, Asym.1= -, Asym.2=, Asym.3=

30 Secant and Cosecant 500 Graph: in the interval

31 Secant and Cosecant 500 X intercepts: 7π, 8π, 9π Relative Min: Relative Max:

32 Writing Trig Equations100 Write an equation for sine given amplitude = 3, period = 180, Phase Shift = 45, Vertical Shift up 2

33 Writing Trig Equations 100

34 Writing Trig Equations 200 Write an equation for tangent given amplitude = 6, period = 90, Phase Shift = -180,Vertical Shift up 5 and the graph is reflected

35 Writing Trig Equations200

36 Writing Trig Equations300 Write an equation for Cosine given amplitude = 4, period =, Phase Shift =, Vertical Shift down 3

37 Writing Trig Equations 300

38 Writing Trig Equations400 Write an equation for Cosecant given amplitude = 2, period =, Phase Shift =, Vertical Shift up 2 and the graph is reflected.

39 Writing Trig Equations400

40 Writing Trig Equations 500 Write an equation for Secant given amplitude = 7, The first asymptote is, Second asymptote is Vertical Shift down 5.

41 Writing Trig Equations 500

42 Misc. Review 100 Determine if (-2) is a root of the polynomial:

43 Misc. Review 100 yes

44 Misc. Review 200 Convert 32°15’27” to decimal degree

45 Misc. Review 200 32.2575°

46 Misc. Review 300 Find the reference angle for 235°

47 Misc. Review 300 55°

48 Misc. Review 400 State the domain and range of

49 Misc. Review 400

50 Misc. Review 500 Find the inverse of f(x)=8(x-2)³

51 Misc. Review 500


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