(a)
The trigonometric functions are and .
The first trigonometric function is .
Find the period :
One cycle :
.
Graph of the trigonometric function is :
The second trigonometric function is .
At , .
Find the period : One cycle :
.
Graph of the trigonometric functions and is :
Observe the above graph :
The graph is shifted units to the left of the graph of .
(b)
The trigonometric functions are and .
The first trigonometric function is .
Find the period :
One cycle :
.
Graph of the trigonometric function is :
The second trigonometric function is .
At , .
Find the period : One cycle :
.
Graph of the trigonometric functions and is :
Observe the above graph :
The graph is shifted units to the right of the graph of .
(a)
Graph of the trigonometric functions and is :
(b)
Graph of the trigonometric functions and is :
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