TRIGONOMETRY GRAPHS

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TRIGONOMETRY GRAPHS Lydia Valensia, S.Pd Guru Matematika SMA Negeri 2 Sekayu Email: [email protected]

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TRIGONOMETRY GRAPHS. Lydia Valensia , S.Pd Guru Matematika SMA Negeri 2 Sekayu Email: [email protected]. HOME. INTRODUCTION. EXERCISE. EVALUATION. COMPETENCE. MATERIAL. Sine and Cosine. functions. squeeze. squeeze. y = sin(2x). y = sin(2x). y = sin(2x). - PowerPoint PPT Presentation

Transcript of TRIGONOMETRY GRAPHS

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TRIGONOMETRYGRAPHS

Lydia Valensia, S.PdGuru Matematika SMA Negeri 2 SekayuEmail: [email protected]

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HOME INTRODUCTION COMPETENCE MATERIAL EXERCISE EVALUATION

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y = sin(2x)

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y = sin(2x)

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y = sin(2x)Amplitude = 1 Period = πPhase shift = 0

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y = -4sin(2x)

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y = -4sin(2x)

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y = -4sin(2x)

Amplitude = 4 Period = πPhase shift = 0

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y = sin(x + π/2) x + π/2 = 0x = -π/2

π/2

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y = sin(x + π/2) x + π/2 = 0x = -π/2

π/2

Amplitude = 1 Period = 2πPhase shift = -π/2

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xxf 2cos)(

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xxf 2cos)(

Amplitude = 1 Period = πPhase shift = 0

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xxf 2cos3)(

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3cos2)( xxf 0

3

x

3

x

π/3

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Amplitude = 2Period = 2πPhase shift = π/3

03

x

3

x

3cos2)( xxf

π/3

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12cos3)( xxf 02 x

2

x

π/2

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12cos3)( xxf

UP1

UP1

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12cos3)( xxf

UP1

UP1

Amplitude = 3Period = πPhase shift = π/2

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HOME INTRODUCTION COMPETENCE MATERIAL EXERCISE EVALUATION

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y = csc(x)

)sin(1x

y

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y = csc(x)

Amplitude = 1Period = 2πPhase shift = 0

)sin(1x

y

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y = sec(x)

)cos(1x

y

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y = 3sec(x-π) 0 xx

π

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y = 3sec(x-π) 0 xx

π

Amplitude = 3Period = 2πPhase shift = π

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HOME INTRODUCTION COMPETENCE MATERIAL EXERCISE EVALUATION

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y = tan(x)

)cos()sin(xxy

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y = tan(x)

Amplitude = 1Period = πPhase shift = 0

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y = cot(x)

)sin()cos(xxy

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y = cot(x)

Amplitude = 1Period = πPhase shift = 0

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Question 1

Question 2

Question 3

Question 4

Question 5

HOME INTRODUCTION COMPETENCE MATERIAL EXERCISE EVALUATION

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Amplitude = 3 Period = πPhase shift = 0

xxf 2cos3)( Question 1

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y = 3sin(x) Question 2

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y = 3sin(x)Amplitude = 3 Period = 2πPhase shift = 0

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y = sec(x)

Amplitude = 1Period = 2πPhase shift = 0

)cos(1x

y

Question 5

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y = sec(x)

Amplitude = 1Period = 2πPhase shift = 0

)cos(1x

y

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Question 3

Question 4

Question 3 and 4 is the evaluation

HOME INTRODUCTION COMPETENCE MATERIAL EXERCISE EVALUATION

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xxf21cos)( Question

3

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xxf21cos)(

Amplitude = 1 Period = 4πPhase shift = 0

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y = tan(2x+π)

)2cos()2sin(

xxy

02 x

2

x

π/2

Question 4

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y = tan(2x+π) 02 x

2

x

π/2

Amplitude = 1Period = π/2Phase shift = - π/2

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