Graphs & Inverses of Trig Functions 2A – Graphing Sine & Cosine

Pre-Calculus Page 1 of 4

Write an equation of the sine function with the given information #1) amplitude = 5, period = 360 ,

phase shift = 60 , VD = 2 #2) #3)

#4) amplitude = 17, period = ,

phase shift = − , VD = -2 #5) #6)

Mu - Page 13 Mu - Page 13

03/01/2015

Graphs & Inverses of Trig Functions 2A – Graphing Sine & Cosine

Pre-Calculus Page 2 of 4

Write an equation of the cosine function with the given information #7) amplitude = 3, period = 270 ,

phase shift = 120 , VD = 0 #8) #9)

#10) amplitude = , period = ,

phase shift = , VD = 7 #11) #12)

Mu - Page 14 Mu - Page 14

03/01/2015

Graphs & Inverses of Trig Functions 2A – Graphing Sine & Cosine

Pre-Calculus Page 3 of 4

Graph each function for at least one period. #13) 𝑦 = − sin(3𝑘 − 90°) + 3 A: Amplitude: Reflected over midline? Vertical Displacement: Midline: Phase Shift: Period: #14) 𝑦 = 3 sin �12 𝑘 + 90°� − 2 A: Amplitude: Reflected over midline? Vertical Displacement: Midline: Phase Shift: Period:

#15) 𝑦 = −1

2 sin �12 𝑘 + 𝜋� + 3

A: Amplitude: Reflected over midline? Vertical Displacement: Midline: Phase Shift: Period: #16) 𝑦 = 4 sin �3𝑘 − 3𝜋

2 � − 1 A: Amplitude: Reflected over midline? Vertical Displacement: Midline: Phase Shift: Period:

Mu - Page 15 Mu - Page 15

03/05/2015

Graphs & Inverses of Trig Functions 2A – Graphing Sine & Cosine

Pre-Calculus Page 4 of 4

#17) 𝑦 = − cos(3𝜃 − 90°) + 3 A: Amplitude: Reflected over midline? Vertical Displacement: Midline: Phase Shift: Period: #18) 𝑦 = 3 cos �12 𝜃 + 360°� − 2 A: Amplitude: Reflected over midline? Vertical Displacement: Midline: Phase Shift: Period:

#19) 𝑦 = −4 cos �12 𝜃 + 𝜋� − 1 A: Amplitude: Reflected over midline? Vertical Displacement: Midline: Phase Shift: Period: #20) 𝑦 = 1

3 cos �13 𝜃 + 𝜋�+ 1

A: Amplitude: Reflected over midline? Vertical Displacement: Midline: Phase Shift: Period:

Mu - Page 16 Mu - Page 16

03/01/2015