Graphing Trigonometric Functions (Degrees)

Determine the maximum value of the function:         $y=8\sin\left(2x\right)+2$  

• y = 1

• y = 2

• y = 8

• y = 10

Determine the period of the sinusoidal graph shown.

• 15 m

• 40 s

• 140 s

• 80 s

Determine the period of function shown:

 $f\left(x\right)=5\cos\left(3x\right)$  

• T = 5

• T = 3

• T = 360 

• T = 120

• The equation is

  $f\left(x\right)\ =4\sin\left(x\right)$

• The equation is:
  $f\left(x\right)=4\cos\left(x\right)$

• The equation is:
  $f\left(x\right)=4\cos\left(2x\right)$

• The equation is:
  $f\left(x\right)=4\sin\left(\frac{x}{2}\right)$

Which of the following equations has a period of

 $720\degree$  

•  $g\left(x\right)=2\sin\left(x\right)$  

•  $g\left(x\right)=2\sin\left(2x\right)$  

•  $g\left(x\right)=\cos\left(720x\right)$  

•  $g\left(x\right)=\cos\left(\frac{x}{2}\right)$  

• The Equation is:
  $f\left(x\right)=2\sin\left(4x\right)$

• The Equation is:
  $f\left(x\right)=2\sin\left(90x\right)-3$

• The Equation is:
  $f\left(x\right)=2\cos\left(90x\right)$

• The Equation is:
  $f\left(x\right)=2\cos\left(4x\right)-3$

Determine the amplitude of the function:

 $y=5\sin\left(2\left(x-30\right)\right)+3$  

• a = 2

• a = 8

• a = 5

• a = 30

Which of the following could be the equation for the graph shown. Select all appropriate answers.

• $y=20\sin\left(6\left(x-15\right)\right)+10$

• $y=20\sin\left(6x\right)+10$

• $y=-20\cos\left(6x\right)+10$

• $y=20\cos\left(6\left(x-30\right)\right)+10$