Graphs of Sine and Cosine Homework

Find the amplitude (A=) and period (T=) of the function, in DEGREES.

 $y=2\sin4\theta$  

•  $A=2,\ \ T=72\degree$   
  

•  $A=8,\ \ T=2880\degree$  

•  $A=2,\ \ T=90\degree$  

•  $A=4\ \ T=180\degree$  

Find the amplitude (A=) and period (T=) of the function, in DEGREES.

 $y=2\cos\frac{x}{3}$  

•  $A=2,\ \ T=90\degree$   
  

•  $A=2,\ \ T=120\degree$  

•  $A=2,\ \ T=1080\degree$  

•  $A=\frac{2}{3}\ \ T=1080\degree$  

Find the amplitude (A=) and period (T=) of the function, in DEGREES.

 $y=9\cos7x$  

•  $A=9,\ \ T=51.4\degree$   
  

•  $A=9,\ \ T=1260\degree$  

•  $A=7,\ \ T=40\degree$  

•  $A=7\ \ T=64.8\degree$  

Find the amplitude (A=) and period (T=) of the function, in DEGREES.

 $y=7\cos\frac{\theta}{4}$  

•  $A=\frac{7}{4},\ \ T=90\degree$   
  

•  $A=\frac{7}{4},\ \ T=1440\degree$  

•  $A=7,\ \ T=90\degree$  

•  $A=7\ \ T=1440\degree$  

Find the amplitude (A=) and period (T=) of the function, in DEGREES.

 $y=2\cos7\theta$  

•  $A=2,\ \ T=51.4\degree$   
  

•  $A=7,\ \ T=180\degree$  

•  $A=2,\ \ T=2520\degree$  

•  $A=7\ \ T=720\degree$  

Find the amplitude (A=) and period (T=) of the function, in DEGREES.

 $y=3\cos\frac{x}{4}$  

•  $A=3,\ \ T=1440\degree$   
  

•  $A=\frac{3}{4},\ \ T=90\degree$  

•  $A=3,\ \ T=90\degree$  

•  $A=\frac{3}{4}\ \ T=1440\degree$  

Find the amplitude (A=) and period (T=) of the function, in DEGREES.

 $y=\sin2x$  

•  $A=2,\ \ T=360\degree$   
  

•  $A=2,\ \ T=180\degree$  

•  $A=1,\ \ T=720\degree$  

•  $A=1\ \ T=180\degree$  

For the function below, find the horizontal (PHASE) shift:

 $y=\frac{1}{5}\cos\left(x+45\right)$  

• left 45
  

• right 45
  

• left 225
  

• right 75

For the function below, find the horizontal (PHASE) shift:

 $y=7\cos\left(8x-60\right)$  

• left 7.5
  

• right 7.5
  

• left 60
  

• right 60

For the function below, find the horizontal (PHASE) shift:

 $y=5\sin\left(4\theta+330\right)$  

• left 82.5
  

• right 82.5
  

• left 330
  

• right 330