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Worksheets

Trigonometric graphs

Total questions: 4

Worksheet time: 4mins

Name
Class
Date
1.

The graph of y=a+b sincxy=a+b\ \sin cx   , for  0 x 2 π0\ \le x\ \le2\ \pi  , is shown above. Select the option with the correct  a,b a,b\ \text{}  and  cc  .

a)

 a=2, b= 1, c=2a=2,\ b=\ 1,\ c=2  

b)

 a=4, b=12, c=2a=4,\ b=\frac{1}{2},\ c=2  

c)

 a=2, b= 2, c= 2a=2,\ b=\ 2,\ c=\ 2  

d)

 a=4, b=4, c=2a=4,\ b=4,\ c=2  

2.

Part of the graph of y=a sinbx + cy=a\ \sin bx\ +\ c   is shown above. 
Select the option that gives the correct values of  a,ba,b  and  cc  .

a)

 a=7, b=1, c=4a=7,\ b=1,\ c=4  

b)

 a=3, b=2, c=4a=3,\ b=2,\ c=4  

c)

 a=7, b=2, c=4a=7,\ b=2,\ c=4  

d)

 a=3, b=1, c=4a=3,\ b=1,\ c=4  

3.

The graph of  y=a+b coscxy=a+b\ \cos cx , for  0 x 3600^{\circ}\ \le x\ \le360^{\circ} , is shown above. 

Select the option that gives the correct values of  a,ba,b   and  cc  .

a)

 a=4, b=3, c=3a=4,\ b=3,\ c=3  

b)

 a=4, b=2, c=2a=4,\ b=2,\ c=2  

c)

 a=2, b= 3, c=3a=2,\ b=\ 3,\ c=3  

d)

 a=2, b=2, c=3a=2,\ b=2,\ c=3  

4.

The graph of  y=a+b tancxy=a+b\ \tan cx , for  0 x π0^{ }\ \le x\ \le\pi , is shown above. 

Select the option that gives the correct values of  a,ba,b   and  cc  .

a)

 tan x2\tan\ x-2  

b)

 tan 2x2\tan\ 2x-2  

c)

 tan 12x2\tan\ \frac{1}{2}x-2  

d)

 tan 12x+1\tan\ \frac{1}{2}x+1