FINDING PERIOD AND AMPLITUDE OF SINE AND COSINE FROM GRAPH WORKSHEET

Answer key

1)

i)  Amplitude

ii)  Horizontal length of one cycle or period = π

B = 2

iii) So, the equation represented by the graph is 

y = 3 sin 2x

2)

i) Amplitude = 4

ii)  Horizontal length of one cycle = 2π

B = 1

iii) So, the equation represented by the graph is 

y = 4 cos x

3)  

i) Amplitude = 2

ii)  Horizontal length of one cycle or period = 4π

B = 1/2

iii) So, the equation represented by the graph is 

y = 2 sin (1/2)x

4)

i) Amplitude = 5

ii)  Horizontal length of one cycle = 2π

B = 1

iii) So, the equation represented by the graph is 

y = -5 cos x

5)  

i)  amplitude = 3

ii)  Horizontal length of one cycle = 4π

B = 1/2

iii) So, the equation represented by the graph is 

y = 3 cos (1/2) x

6)

 i) Amplitude = 3

ii)  Horizontal length of one cycle = 4π

B = 1/2

iii) So, the equation represented by the graph is 

y = 3 sin (1/2) x

7)

i) Amplitude = 2

ii)  Horizontal length of one cycle or period = π

B = 2

iii) the equation represented by the graph is 

y = -2 sin 2 x