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T1U1FA2 : Trigo Graphs

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

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

2.

The period for y = cos x is ________.

a)

90°90\degree

b)

180°180\degree

c)

360°360\degree

3.

The period for y = sin x is _______.

a)

2π2\pi

b)

π\pi

4.

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.

a)

altitude

b)

amplitude

c)

attitude

5.

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

a)

-1

b)

1

c)

undefined

6.

Check the correct statements.

a)

For y = tan x, the amplitude is undefined.

b)

For y = tan x, the amplitude is 1

c)

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

d)

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

7.

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

a)


amplitude = 3amplitude\ =\ 3 period = 360°period\ =\ 360\degree

b)

amplitude\ =\ 3 period = 180°period\ =\ 180\degree

c)

amplitude = 3amplitude\ =\ 3 period = 120°period\ =\ 120\degree

8.

Write down the equation for this graph.

a)

y=3cos2x+2y=3\cos2x+2

b)

y=3cos2x+2y=-3\cos2x+2

c)

y=2cos3x+3y=2\cos3x+3

9.

Write the equation for this graph.

a)

y = 2sinx+2y\ =\ 2\sin x+2

b)

y=sin2x+4y=\sin2x+4

c)

y=2sin2xy=2\sin2x

d)

y=2sin2x+2y=2\sin2x+2

10.

Write down the equation for this graph.

a)

y=tan 4xy=\tan\ 4x

b)

y=tan 2xy=\tan\ 2x

c)

y=tan 3xy=\tan\ 3x

d)

y=tanxy=\tan x