6.3 Graph of Trigonometry

y = a sin n x

what is a?

• Acceleration

• Amplitude

• Distance from maximum to minimum point

• Number of cycles

How many cycles in 2 $\pi$  ?

• 1

• 2

• 3

•  $\frac{3}{2}$  
  

Choose the correct equation.

• y = 3 sin 2x
  

• y =  $-$  2 sin 3x
  

• y = 3 cos 2x
  

• y = 2 cos 3x
  

Choose the correct equation.

• y = tan x
  

• y = tan 2x
  

• y = - tan 2x
  

• y = $\tan\ \frac{x}{2}$
  

Choose the correct equation.

• y = $-$ sin x
  

• y = 2 sin x $-$ 1
  

• y = $-\ \cos\ x\$
  

• y = $2\ \cos\ x\ -1$
  

Given the equation y = 4 tan $\frac{1}{2}$ x , what is the angle p?

•   $\pi$ 
  

•   $\frac{3}{2}\pi$ 
  

•  $2\pi$ 
  

•  $4\pi$ 
  

Which graph represent  y =   $-2\cos\ x$  

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Which graph represent  y =   $-2\cos\ x\ +\ 1$  

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Choose the correct equation.

•  $y=-\sin\ \frac{1}{2}x$  

•  $y=\frac{1}{2}\sin\ x\ -\ 1$  

•  $y=\left|\frac{1}{2}\sin\ x\right|-1$  

•  $y=\left|\sin\ \frac{1}{2}x\ -\ 1\right|$  

Choose the correct equation.

• $y=\tan\ \frac{1}{2}x$

• $y=\tan\ x\ +\ 1$

• $y=\tan\ \frac{1}{2}x+1$

• $y=\tan\ 2x\ +\ 1$