T1U1FA2 : Trigo Graphs

The length (distance along the x-axis) of one complete wave of the y = sin x or y = cos x is called the __________ of the wave.

The period for y = cos x is ________.

The period for y = sin x is _______.

The height or a________ of the wave is the vertical distance from the middle of the wave (axis of the graph) to a maximum point or minimum point.

• altitude

• amplitude

• attitude

The amplitude for y = sin x and y = cos x is ______.

• -1

• 1

• undefined

Check the correct statements.

• For y = tan x, the amplitude is undefined.

• For y = tan x, the amplitude is 1

• For y = tan x, the period is $180\degree$

• For y = tan x, the period is $360\degree$

Given that y = 3 sin 3x, which of the following statement is true?

• 
  

  $amplitude\ =\ 3$ $period\ =\ 360\degree$
  

• $amplitude\ =\ 3$ $period\ =\ 180\degree$
  

• $amplitude\ =\ 3$ $period\ =\ 120\degree$
  

Write down the equation for this graph.

• $y=3\cos2x+2$

• $y=-3\cos2x+2$

• $y=2\cos3x+3$

Write the equation for this graph.

• $y\ =\ 2\sin x+2$

• $y=\sin2x+4$

• $y=2\sin2x$

• $y=2\sin2x+2$

Write down the equation for this graph.

• $y=\tan\ 4x$

• $y=\tan\ 2x$

• $y=\tan\ 3x$

• $y=\tan x$