(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 :